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Finding the Fourth Proportional to 458.05, 632.12 and 271.47

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Solution

The fourth proportional to 458.05, 632.12 and 271.47 is: 374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.05 : 632.12 = 271.47 : x
  2. Step 2: Convert to fraction form
    458.05/632.12 = 271.47/x
  3. Step 3: Cross multiply
    458.05x = 632.12 × 271.47
  4. Step 4: Simplify right side
    458.05x = 171,601.62
  5. Step 5: Solve for x
    x = 171,601.62/458.05
  6. Step 6: Final answer
    x = 374.64

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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.