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Finding the Fourth Proportional to 532.68, 735.36 and 355.92

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Solution

The fourth proportional to 532.68, 735.36 and 355.92 is: 491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.68 : 735.36 = 355.92 : x
  2. Step 2: Convert to fraction form
    532.68/735.36 = 355.92/x
  3. Step 3: Cross multiply
    532.68x = 735.36 × 355.92
  4. Step 4: Simplify right side
    532.68x = 261,729.33
  5. Step 5: Solve for x
    x = 261,729.33/532.68
  6. Step 6: Final answer
    x = 491.34

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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.