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Finding the Fourth Proportional to 332.88, 496.80 and 324.24

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Solution

The fourth proportional to 332.88, 496.80 and 324.24 is: 483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.88 : 496.80 = 324.24 : x
  2. Step 2: Convert to fraction form
    332.88/496.80 = 324.24/x
  3. Step 3: Cross multiply
    332.88x = 496.80 × 324.24
  4. Step 4: Simplify right side
    332.88x = 161,082.43
  5. Step 5: Solve for x
    x = 161,082.43/332.88
  6. Step 6: Final answer
    x = 483.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.