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Finding the Fourth Proportional to 409.46, 564.99 and 243.68

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Solution

The fourth proportional to 409.46, 564.99 and 243.68 is: 336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.46 : 564.99 = 243.68 : x
  2. Step 2: Convert to fraction form
    409.46/564.99 = 243.68/x
  3. Step 3: Cross multiply
    409.46x = 564.99 × 243.68
  4. Step 4: Simplify right side
    409.46x = 137,673.94
  5. Step 5: Solve for x
    x = 137,673.94/409.46
  6. Step 6: Final answer
    x = 336.24

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Why These Related Problems?

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