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Finding the Fourth Proportional to 632.94, 948.73 and 324.47

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Solution

The fourth proportional to 632.94, 948.73 and 324.47 is: 486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.94 : 948.73 = 324.47 : x
  2. Step 2: Convert to fraction form
    632.94/948.73 = 324.47/x
  3. Step 3: Cross multiply
    632.94x = 948.73 × 324.47
  4. Step 4: Simplify right side
    632.94x = 307,834.42
  5. Step 5: Solve for x
    x = 307,834.42/632.94
  6. Step 6: Final answer
    x = 486.36

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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.