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Finding the Fourth Proportional to 458.39, 632.22 and 310.76

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Solution

The fourth proportional to 458.39, 632.22 and 310.76 is: 428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.39 : 632.22 = 310.76 : x
  2. Step 2: Convert to fraction form
    458.39/632.22 = 310.76/x
  3. Step 3: Cross multiply
    458.39x = 632.22 × 310.76
  4. Step 4: Simplify right side
    458.39x = 196,468.69
  5. Step 5: Solve for x
    x = 196,468.69/458.39
  6. Step 6: Final answer
    x = 428.61

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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.