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Finding the Fourth Proportional to 498.39, 688.10 and 311.95

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Solution

The fourth proportional to 498.39, 688.10 and 311.95 is: 430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.39 : 688.10 = 311.95 : x
  2. Step 2: Convert to fraction form
    498.39/688.10 = 311.95/x
  3. Step 3: Cross multiply
    498.39x = 688.10 × 311.95
  4. Step 4: Simplify right side
    498.39x = 214,652.80
  5. Step 5: Solve for x
    x = 214,652.80/498.39
  6. Step 6: Final answer
    x = 430.69

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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.