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Finding the Fourth Proportional to 498.22, 686.64 and 442.87

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Solution

The fourth proportional to 498.22, 686.64 and 442.87 is: 610.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.22 : 686.64 = 442.87 : x
  2. Step 2: Convert to fraction form
    498.22/686.64 = 442.87/x
  3. Step 3: Cross multiply
    498.22x = 686.64 × 442.87
  4. Step 4: Simplify right side
    498.22x = 304,092.26
  5. Step 5: Solve for x
    x = 304,092.26/498.22
  6. Step 6: Final answer
    x = 610.36

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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.