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Finding the Fourth Proportional to 498.53, 687.67 and 387.83

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Solution

The fourth proportional to 498.53, 687.67 and 387.83 is: 534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.53 : 687.67 = 387.83 : x
  2. Step 2: Convert to fraction form
    498.53/687.67 = 387.83/x
  3. Step 3: Cross multiply
    498.53x = 687.67 × 387.83
  4. Step 4: Simplify right side
    498.53x = 266,694.65
  5. Step 5: Solve for x
    x = 266,694.65/498.53
  6. Step 6: Final answer
    x = 534.97

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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.