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Finding the Fourth Proportional to 530.82, 732.46 and 294.76

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Solution

The fourth proportional to 530.82, 732.46 and 294.76 is: 406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.82 : 732.46 = 294.76 : x
  2. Step 2: Convert to fraction form
    530.82/732.46 = 294.76/x
  3. Step 3: Cross multiply
    530.82x = 732.46 × 294.76
  4. Step 4: Simplify right side
    530.82x = 215,899.91
  5. Step 5: Solve for x
    x = 215,899.91/530.82
  6. Step 6: Final answer
    x = 406.73

Related Problems

Find fourth proportional to 265.41, 366.23 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.