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Finding the Fourth Proportional to 532.53, 735.02 and 355.77

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Solution

The fourth proportional to 532.53, 735.02 and 355.77 is: 491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.53 : 735.02 = 355.77 : x
  2. Step 2: Convert to fraction form
    532.53/735.02 = 355.77/x
  3. Step 3: Cross multiply
    532.53x = 735.02 × 355.77
  4. Step 4: Simplify right side
    532.53x = 261,496.29
  5. Step 5: Solve for x
    x = 261,496.29/532.53
  6. Step 6: Final answer
    x = 491.05

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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.