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Finding the Fourth Proportional to 498.78, 688.32 and 324.24

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Solution

The fourth proportional to 498.78, 688.32 and 324.24 is: 447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.78 : 688.32 = 324.24 : x
  2. Step 2: Convert to fraction form
    498.78/688.32 = 324.24/x
  3. Step 3: Cross multiply
    498.78x = 688.32 × 324.24
  4. Step 4: Simplify right side
    498.78x = 223,180.88
  5. Step 5: Solve for x
    x = 223,180.88/498.78
  6. Step 6: Final answer
    x = 447.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.