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Finding the Fourth Proportional to 532.70, 735.38 and 392.84

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Solution

The fourth proportional to 532.70, 735.38 and 392.84 is: 542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.70 : 735.38 = 392.84 : x
  2. Step 2: Convert to fraction form
    532.70/735.38 = 392.84/x
  3. Step 3: Cross multiply
    532.70x = 735.38 × 392.84
  4. Step 4: Simplify right side
    532.70x = 288,886.68
  5. Step 5: Solve for x
    x = 288,886.68/532.70
  6. Step 6: Final answer
    x = 542.31

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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.