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Finding the Fourth Proportional to 652.47, 979.11 and 447.41

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Solution

The fourth proportional to 652.47, 979.11 and 447.41 is: 671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.47 : 979.11 = 447.41 : x
  2. Step 2: Convert to fraction form
    652.47/979.11 = 447.41/x
  3. Step 3: Cross multiply
    652.47x = 979.11 × 447.41
  4. Step 4: Simplify right side
    652.47x = 438,058.71
  5. Step 5: Solve for x
    x = 438,058.71/652.47
  6. Step 6: Final answer
    x = 671.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.