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Finding the Fourth Proportional to 498.50, 687.20 and 411.02

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Solution

The fourth proportional to 498.50, 687.20 and 411.02 is: 566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.50 : 687.20 = 411.02 : x
  2. Step 2: Convert to fraction form
    498.50/687.20 = 411.02/x
  3. Step 3: Cross multiply
    498.50x = 687.20 × 411.02
  4. Step 4: Simplify right side
    498.50x = 282,452.94
  5. Step 5: Solve for x
    x = 282,452.94/498.50
  6. Step 6: Final answer
    x = 566.61

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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.