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Finding the Fourth Proportional to 532.14, 733.86 and 472.94

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Solution

The fourth proportional to 532.14, 733.86 and 472.94 is: 652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.14 : 733.86 = 472.94 : x
  2. Step 2: Convert to fraction form
    532.14/733.86 = 472.94/x
  3. Step 3: Cross multiply
    532.14x = 733.86 × 472.94
  4. Step 4: Simplify right side
    532.14x = 347,071.75
  5. Step 5: Solve for x
    x = 347,071.75/532.14
  6. Step 6: Final answer
    x = 652.22

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