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Finding the Fourth Proportional to 458.06, 632.13 and 251.06

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Solution

The fourth proportional to 458.06, 632.13 and 251.06 is: 346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.06 : 632.13 = 251.06 : x
  2. Step 2: Convert to fraction form
    458.06/632.13 = 251.06/x
  3. Step 3: Cross multiply
    458.06x = 632.13 × 251.06
  4. Step 4: Simplify right side
    458.06x = 158,704.14
  5. Step 5: Solve for x
    x = 158,704.14/458.06
  6. Step 6: Final answer
    x = 346.47

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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.