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Finding the Fourth Proportional to 663.86, 916.17 and 439.41

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Solution

The fourth proportional to 663.86, 916.17 and 439.41 is: 606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.86 : 916.17 = 439.41 : x
  2. Step 2: Convert to fraction form
    663.86/916.17 = 439.41/x
  3. Step 3: Cross multiply
    663.86x = 916.17 × 439.41
  4. Step 4: Simplify right side
    663.86x = 402,572.47
  5. Step 5: Solve for x
    x = 402,572.47/663.86
  6. Step 6: Final answer
    x = 606.41

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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.