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Finding the Fourth Proportional to 496.82, 686.12 and 372.29

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Solution

The fourth proportional to 496.82, 686.12 and 372.29 is: 514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.82 : 686.12 = 372.29 : x
  2. Step 2: Convert to fraction form
    496.82/686.12 = 372.29/x
  3. Step 3: Cross multiply
    496.82x = 686.12 × 372.29
  4. Step 4: Simplify right side
    496.82x = 255,430.32
  5. Step 5: Solve for x
    x = 255,430.32/496.82
  6. Step 6: Final answer
    x = 514.14

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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.