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Finding the Fourth Proportional to 632.58, 949.08 and 324.38

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Solution

The fourth proportional to 632.58, 949.08 and 324.38 is: 486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.58 : 949.08 = 324.38 : x
  2. Step 2: Convert to fraction form
    632.58/949.08 = 324.38/x
  3. Step 3: Cross multiply
    632.58x = 949.08 × 324.38
  4. Step 4: Simplify right side
    632.58x = 307,862.57
  5. Step 5: Solve for x
    x = 307,862.57/632.58
  6. Step 6: Final answer
    x = 486.68

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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.