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Finding the Fourth Proportional to 458.28, 632.36 and 271.70

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Solution

The fourth proportional to 458.28, 632.36 and 271.70 is: 374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.28 : 632.36 = 271.70 : x
  2. Step 2: Convert to fraction form
    458.28/632.36 = 271.70/x
  3. Step 3: Cross multiply
    458.28x = 632.36 × 271.70
  4. Step 4: Simplify right side
    458.28x = 171,812.21
  5. Step 5: Solve for x
    x = 171,812.21/458.28
  6. Step 6: Final answer
    x = 374.91

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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.