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Finding the Fourth Proportional to 532.80, 735.48 and 358.38

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Solution

The fourth proportional to 532.80, 735.48 and 358.38 is: 494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.80 : 735.48 = 358.38 : x
  2. Step 2: Convert to fraction form
    532.80/735.48 = 358.38/x
  3. Step 3: Cross multiply
    532.80x = 735.48 × 358.38
  4. Step 4: Simplify right side
    532.80x = 263,581.32
  5. Step 5: Solve for x
    x = 263,581.32/532.80
  6. Step 6: Final answer
    x = 494.71

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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.