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Finding the Fourth Proportional to 458.28, 631.70 and 310.66

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Solution

The fourth proportional to 458.28, 631.70 and 310.66 is: 428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.28 : 631.70 = 310.66 : x
  2. Step 2: Convert to fraction form
    458.28/631.70 = 310.66/x
  3. Step 3: Cross multiply
    458.28x = 631.70 × 310.66
  4. Step 4: Simplify right side
    458.28x = 196,241.95
  5. Step 5: Solve for x
    x = 196,241.95/458.28
  6. Step 6: Final answer
    x = 428.21

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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.