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Finding the Fourth Proportional to 458.16, 632.42 and 310.78

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Solution

The fourth proportional to 458.16, 632.42 and 310.78 is: 428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.16 : 632.42 = 310.78 : x
  2. Step 2: Convert to fraction form
    458.16/632.42 = 310.78/x
  3. Step 3: Cross multiply
    458.16x = 632.42 × 310.78
  4. Step 4: Simplify right side
    458.16x = 196,543.49
  5. Step 5: Solve for x
    x = 196,543.49/458.16
  6. Step 6: Final answer
    x = 428.98

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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.