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Finding the Fourth Proportional to 599.72, 823.19 and 532.76

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Solution

The fourth proportional to 599.72, 823.19 and 532.76 is: 731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.72 : 823.19 = 532.76 : x
  2. Step 2: Convert to fraction form
    599.72/823.19 = 532.76/x
  3. Step 3: Cross multiply
    599.72x = 823.19 × 532.76
  4. Step 4: Simplify right side
    599.72x = 438,562.70
  5. Step 5: Solve for x
    x = 438,562.70/599.72
  6. Step 6: Final answer
    x = 731.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.