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Finding the Fourth Proportional to 409.41, 565.02 and 243.66

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Solution

The fourth proportional to 409.41, 565.02 and 243.66 is: 336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.41 : 565.02 = 243.66 : x
  2. Step 2: Convert to fraction form
    409.41/565.02 = 243.66/x
  3. Step 3: Cross multiply
    409.41x = 565.02 × 243.66
  4. Step 4: Simplify right side
    409.41x = 137,672.77
  5. Step 5: Solve for x
    x = 137,672.77/409.41
  6. Step 6: Final answer
    x = 336.27

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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.