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Finding the Fourth Proportional to 458.48, 632.69 and 248.66

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Solution

The fourth proportional to 458.48, 632.69 and 248.66 is: 343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.48 : 632.69 = 248.66 : x
  2. Step 2: Convert to fraction form
    458.48/632.69 = 248.66/x
  3. Step 3: Cross multiply
    458.48x = 632.69 × 248.66
  4. Step 4: Simplify right side
    458.48x = 157,321.69
  5. Step 5: Solve for x
    x = 157,321.69/458.48
  6. Step 6: Final answer
    x = 343.14

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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.