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Finding the Fourth Proportional to 532.78, 735.21 and 296.73

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Solution

The fourth proportional to 532.78, 735.21 and 296.73 is: 409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.78 : 735.21 = 296.73 : x
  2. Step 2: Convert to fraction form
    532.78/735.21 = 296.73/x
  3. Step 3: Cross multiply
    532.78x = 735.21 × 296.73
  4. Step 4: Simplify right side
    532.78x = 218,158.86
  5. Step 5: Solve for x
    x = 218,158.86/532.78
  6. Step 6: Final answer
    x = 409.47

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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.