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Finding the Fourth Proportional to 498.58, 686.64 and 497.11

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Solution

The fourth proportional to 498.58, 686.64 and 497.11 is: 684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.58 : 686.64 = 497.11 : x
  2. Step 2: Convert to fraction form
    498.58/686.64 = 497.11/x
  3. Step 3: Cross multiply
    498.58x = 686.64 × 497.11
  4. Step 4: Simplify right side
    498.58x = 341,335.61
  5. Step 5: Solve for x
    x = 341,335.61/498.58
  6. Step 6: Final answer
    x = 684.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.