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Finding the Fourth Proportional to 532.04, 732.20 and 450.24

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Solution

The fourth proportional to 532.04, 732.20 and 450.24 is: 619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.04 : 732.20 = 450.24 : x
  2. Step 2: Convert to fraction form
    532.04/732.20 = 450.24/x
  3. Step 3: Cross multiply
    532.04x = 732.20 × 450.24
  4. Step 4: Simplify right side
    532.04x = 329,665.73
  5. Step 5: Solve for x
    x = 329,665.73/532.04
  6. Step 6: Final answer
    x = 619.63

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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.