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Finding the Fourth Proportional to 458.14, 632.22 and 248.30

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Solution

The fourth proportional to 458.14, 632.22 and 248.30 is: 342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.14 : 632.22 = 248.30 : x
  2. Step 2: Convert to fraction form
    458.14/632.22 = 248.30/x
  3. Step 3: Cross multiply
    458.14x = 632.22 × 248.30
  4. Step 4: Simplify right side
    458.14x = 156,980.88
  5. Step 5: Solve for x
    x = 156,980.88/458.14
  6. Step 6: Final answer
    x = 342.65

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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.