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Finding the Fourth Proportional to 527.78, 728.22 and 306.75

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Solution

The fourth proportional to 527.78, 728.22 and 306.75 is: 423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.78 : 728.22 = 306.75 : x
  2. Step 2: Convert to fraction form
    527.78/728.22 = 306.75/x
  3. Step 3: Cross multiply
    527.78x = 728.22 × 306.75
  4. Step 4: Simplify right side
    527.78x = 223,385.37
  5. Step 5: Solve for x
    x = 223,385.37/527.78
  6. Step 6: Final answer
    x = 423.25

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Find fourth proportional to 263.89, 364.11 and 153.38
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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.