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Finding the Fourth Proportional to 498.14, 687.77 and 311.70

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Solution

The fourth proportional to 498.14, 687.77 and 311.70 is: 430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.14 : 687.77 = 311.70 : x
  2. Step 2: Convert to fraction form
    498.14/687.77 = 311.70/x
  3. Step 3: Cross multiply
    498.14x = 687.77 × 311.70
  4. Step 4: Simplify right side
    498.14x = 214,376.35
  5. Step 5: Solve for x
    x = 214,376.35/498.14
  6. Step 6: Final answer
    x = 430.36

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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.