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Finding the Fourth Proportional to 532.80, 735.36 and 358.72

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Solution

The fourth proportional to 532.80, 735.36 and 358.72 is: 495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.80 : 735.36 = 358.72 : x
  2. Step 2: Convert to fraction form
    532.80/735.36 = 358.72/x
  3. Step 3: Cross multiply
    532.80x = 735.36 × 358.72
  4. Step 4: Simplify right side
    532.80x = 263,788.34
  5. Step 5: Solve for x
    x = 263,788.34/532.80
  6. Step 6: Final answer
    x = 495.10

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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.