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Finding the Fourth Proportional to 498.43, 686.27 and 423.58

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Solution

The fourth proportional to 498.43, 686.27 and 423.58 is: 583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.43 : 686.27 = 423.58 : x
  2. Step 2: Convert to fraction form
    498.43/686.27 = 423.58/x
  3. Step 3: Cross multiply
    498.43x = 686.27 × 423.58
  4. Step 4: Simplify right side
    498.43x = 290,690.25
  5. Step 5: Solve for x
    x = 290,690.25/498.43
  6. Step 6: Final answer
    x = 583.21

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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.