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Finding the Fourth Proportional to 527.62, 728.13 and 294.76

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Solution

The fourth proportional to 527.62, 728.13 and 294.76 is: 406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.62 : 728.13 = 294.76 : x
  2. Step 2: Convert to fraction form
    527.62/728.13 = 294.76/x
  3. Step 3: Cross multiply
    527.62x = 728.13 × 294.76
  4. Step 4: Simplify right side
    527.62x = 214,623.60
  5. Step 5: Solve for x
    x = 214,623.60/527.62
  6. Step 6: Final answer
    x = 406.78

Related Problems

Find fourth proportional to 263.81, 364.07 and 147.38
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.