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Finding the Fourth Proportional to 532.31, 733.92 and 443.92

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Solution

The fourth proportional to 532.31, 733.92 and 443.92 is: 612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.31 : 733.92 = 443.92 : x
  2. Step 2: Convert to fraction form
    532.31/733.92 = 443.92/x
  3. Step 3: Cross multiply
    532.31x = 733.92 × 443.92
  4. Step 4: Simplify right side
    532.31x = 325,801.77
  5. Step 5: Solve for x
    x = 325,801.77/532.31
  6. Step 6: Final answer
    x = 612.05

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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.