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Finding the Fourth Proportional to 458.41, 632.56 and 311.10

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Solution

The fourth proportional to 458.41, 632.56 and 311.10 is: 429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.41 : 632.56 = 311.10 : x
  2. Step 2: Convert to fraction form
    458.41/632.56 = 311.10/x
  3. Step 3: Cross multiply
    458.41x = 632.56 × 311.10
  4. Step 4: Simplify right side
    458.41x = 196,789.42
  5. Step 5: Solve for x
    x = 196,789.42/458.41
  6. Step 6: Final answer
    x = 429.29

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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.