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Finding the Fourth Proportional to 632.61, 948.31 and 308.21

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Solution

The fourth proportional to 632.61, 948.31 and 308.21 is: 462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.61 : 948.31 = 308.21 : x
  2. Step 2: Convert to fraction form
    632.61/948.31 = 308.21/x
  3. Step 3: Cross multiply
    632.61x = 948.31 × 308.21
  4. Step 4: Simplify right side
    632.61x = 292,273.11
  5. Step 5: Solve for x
    x = 292,273.11/632.61
  6. Step 6: Final answer
    x = 462.01

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