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Finding the Fourth Proportional to 498.08, 687.20 and 291.04

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Solution

The fourth proportional to 498.08, 687.20 and 291.04 is: 401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.08 : 687.20 = 291.04 : x
  2. Step 2: Convert to fraction form
    498.08/687.20 = 291.04/x
  3. Step 3: Cross multiply
    498.08x = 687.20 × 291.04
  4. Step 4: Simplify right side
    498.08x = 200,002.69
  5. Step 5: Solve for x
    x = 200,002.69/498.08
  6. Step 6: Final answer
    x = 401.55

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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.