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Finding the Fourth Proportional to 498.38, 687.76 and 311.74

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Solution

The fourth proportional to 498.38, 687.76 and 311.74 is: 430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.38 : 687.76 = 311.74 : x
  2. Step 2: Convert to fraction form
    498.38/687.76 = 311.74/x
  3. Step 3: Cross multiply
    498.38x = 687.76 × 311.74
  4. Step 4: Simplify right side
    498.38x = 214,399.80
  5. Step 5: Solve for x
    x = 214,399.80/498.38
  6. Step 6: Final answer
    x = 430.20

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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.