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Finding the Fourth Proportional to 632.69, 948.35 and 324.11

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Solution

The fourth proportional to 632.69, 948.35 and 324.11 is: 485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.69 : 948.35 = 324.11 : x
  2. Step 2: Convert to fraction form
    632.69/948.35 = 324.11/x
  3. Step 3: Cross multiply
    632.69x = 948.35 × 324.11
  4. Step 4: Simplify right side
    632.69x = 307,368.10
  5. Step 5: Solve for x
    x = 307,368.10/632.69
  6. Step 6: Final answer
    x = 485.81

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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.