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Finding the Fourth Proportional to 532.09, 733.62 and 447.85

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Solution

The fourth proportional to 532.09, 733.62 and 447.85 is: 617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.09 : 733.62 = 447.85 : x
  2. Step 2: Convert to fraction form
    532.09/733.62 = 447.85/x
  3. Step 3: Cross multiply
    532.09x = 733.62 × 447.85
  4. Step 4: Simplify right side
    532.09x = 328,551.72
  5. Step 5: Solve for x
    x = 328,551.72/532.09
  6. Step 6: Final answer
    x = 617.47

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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.