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Finding the Fourth Proportional to 532.66, 735.02 and 296.62

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Solution

The fourth proportional to 532.66, 735.02 and 296.62 is: 409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.66 : 735.02 = 296.62 : x
  2. Step 2: Convert to fraction form
    532.66/735.02 = 296.62/x
  3. Step 3: Cross multiply
    532.66x = 735.02 × 296.62
  4. Step 4: Simplify right side
    532.66x = 218,020.80
  5. Step 5: Solve for x
    x = 218,020.80/532.66
  6. Step 6: Final answer
    x = 409.31

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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.