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Finding the Fourth Proportional to 632.74, 949.27 and 248.02

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Solution

The fourth proportional to 632.74, 949.27 and 248.02 is: 372.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.74 : 949.27 = 248.02 : x
  2. Step 2: Convert to fraction form
    632.74/949.27 = 248.02/x
  3. Step 3: Cross multiply
    632.74x = 949.27 × 248.02
  4. Step 4: Simplify right side
    632.74x = 235,437.95
  5. Step 5: Solve for x
    x = 235,437.95/632.74
  6. Step 6: Final answer
    x = 372.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.