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Finding the Fourth Proportional to 498.68, 687.02 and 411.20

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Solution

The fourth proportional to 498.68, 687.02 and 411.20 is: 566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.68 : 687.02 = 411.20 : x
  2. Step 2: Convert to fraction form
    498.68/687.02 = 411.20/x
  3. Step 3: Cross multiply
    498.68x = 687.02 × 411.20
  4. Step 4: Simplify right side
    498.68x = 282,502.62
  5. Step 5: Solve for x
    x = 282,502.62/498.68
  6. Step 6: Final answer
    x = 566.50

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Why These Related Problems?

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