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Finding the Fourth Proportional to 498.30, 687.87 and 454.02

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Solution

The fourth proportional to 498.30, 687.87 and 454.02 is: 626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.30 : 687.87 = 454.02 : x
  2. Step 2: Convert to fraction form
    498.30/687.87 = 454.02/x
  3. Step 3: Cross multiply
    498.30x = 687.87 × 454.02
  4. Step 4: Simplify right side
    498.30x = 312,306.74
  5. Step 5: Solve for x
    x = 312,306.74/498.30
  6. Step 6: Final answer
    x = 626.74

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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.