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Finding the Fourth Proportional to 499.97, 689.92 and 465.14

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Solution

The fourth proportional to 499.97, 689.92 and 465.14 is: 641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.97 : 689.92 = 465.14 : x
  2. Step 2: Convert to fraction form
    499.97/689.92 = 465.14/x
  3. Step 3: Cross multiply
    499.97x = 689.92 × 465.14
  4. Step 4: Simplify right side
    499.97x = 320,909.95
  5. Step 5: Solve for x
    x = 320,909.95/499.97
  6. Step 6: Final answer
    x = 641.86

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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.