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Finding the Fourth Proportional to 458.21, 632.31 and 271.71

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Solution

The fourth proportional to 458.21, 632.31 and 271.71 is: 374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.21 : 632.31 = 271.71 : x
  2. Step 2: Convert to fraction form
    458.21/632.31 = 271.71/x
  3. Step 3: Cross multiply
    458.21x = 632.31 × 271.71
  4. Step 4: Simplify right side
    458.21x = 171,804.95
  5. Step 5: Solve for x
    x = 171,804.95/458.21
  6. Step 6: Final answer
    x = 374.95

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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.