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Finding the Fourth Proportional to 498.32, 687.68 and 311.84

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Solution

The fourth proportional to 498.32, 687.68 and 311.84 is: 430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.32 : 687.68 = 311.84 : x
  2. Step 2: Convert to fraction form
    498.32/687.68 = 311.84/x
  3. Step 3: Cross multiply
    498.32x = 687.68 × 311.84
  4. Step 4: Simplify right side
    498.32x = 214,446.13
  5. Step 5: Solve for x
    x = 214,446.13/498.32
  6. Step 6: Final answer
    x = 430.34

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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.