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Finding the Fourth Proportional to 532.16, 735 and 392.08

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Solution

The fourth proportional to 532.16, 735 and 392.08 is: 541.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.16 : 735 = 392.08 : x
  2. Step 2: Convert to fraction form
    532.16/735 = 392.08/x
  3. Step 3: Cross multiply
    532.16x = 735 × 392.08
  4. Step 4: Simplify right side
    532.16x = 288,178.80
  5. Step 5: Solve for x
    x = 288,178.80/532.16
  6. Step 6: Final answer
    x = 541.53

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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.