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Finding the Fourth Proportional to 458.74, 632.08 and 311.12

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Solution

The fourth proportional to 458.74, 632.08 and 311.12 is: 428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.74 : 632.08 = 311.12 : x
  2. Step 2: Convert to fraction form
    458.74/632.08 = 311.12/x
  3. Step 3: Cross multiply
    458.74x = 632.08 × 311.12
  4. Step 4: Simplify right side
    458.74x = 196,652.73
  5. Step 5: Solve for x
    x = 196,652.73/458.74
  6. Step 6: Final answer
    x = 428.68

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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.