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Finding the Fourth Proportional to 434.16, 650 and 331.88

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Solution

The fourth proportional to 434.16, 650 and 331.88 is: 496.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.16 : 650 = 331.88 : x
  2. Step 2: Convert to fraction form
    434.16/650 = 331.88/x
  3. Step 3: Cross multiply
    434.16x = 650 × 331.88
  4. Step 4: Simplify right side
    434.16x = 215,722
  5. Step 5: Solve for x
    x = 215,722/434.16
  6. Step 6: Final answer
    x = 496.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.