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Finding the Fourth Proportional to 527.92, 728.46 and 429.52

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Solution

The fourth proportional to 527.92, 728.46 and 429.52 is: 592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.92 : 728.46 = 429.52 : x
  2. Step 2: Convert to fraction form
    527.92/728.46 = 429.52/x
  3. Step 3: Cross multiply
    527.92x = 728.46 × 429.52
  4. Step 4: Simplify right side
    527.92x = 312,888.14
  5. Step 5: Solve for x
    x = 312,888.14/527.92
  6. Step 6: Final answer
    x = 592.68

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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.