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Finding the Fourth Proportional to 458.19, 632.05 and 310.90

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Solution

The fourth proportional to 458.19, 632.05 and 310.90 is: 428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.19 : 632.05 = 310.90 : x
  2. Step 2: Convert to fraction form
    458.19/632.05 = 310.90/x
  3. Step 3: Cross multiply
    458.19x = 632.05 × 310.90
  4. Step 4: Simplify right side
    458.19x = 196,504.35
  5. Step 5: Solve for x
    x = 196,504.35/458.19
  6. Step 6: Final answer
    x = 428.87

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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.