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Finding the Fourth Proportional to 409.96, 565.86 and 244.12

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Solution

The fourth proportional to 409.96, 565.86 and 244.12 is: 336.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.96 : 565.86 = 244.12 : x
  2. Step 2: Convert to fraction form
    409.96/565.86 = 244.12/x
  3. Step 3: Cross multiply
    409.96x = 565.86 × 244.12
  4. Step 4: Simplify right side
    409.96x = 138,137.74
  5. Step 5: Solve for x
    x = 138,137.74/409.96
  6. Step 6: Final answer
    x = 336.95

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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.