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Finding the Fourth Proportional to 409.78, 565.25 and 243.88

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Solution

The fourth proportional to 409.78, 565.25 and 243.88 is: 336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.78 : 565.25 = 243.88 : x
  2. Step 2: Convert to fraction form
    409.78/565.25 = 243.88/x
  3. Step 3: Cross multiply
    409.78x = 565.25 × 243.88
  4. Step 4: Simplify right side
    409.78x = 137,851.95
  5. Step 5: Solve for x
    x = 137,851.95/409.78
  6. Step 6: Final answer
    x = 336.40

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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.