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Finding the Fourth Proportional to 410.69, 566.65 and 244.94

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Solution

The fourth proportional to 410.69, 566.65 and 244.94 is: 337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.69 : 566.65 = 244.94 : x
  2. Step 2: Convert to fraction form
    410.69/566.65 = 244.94/x
  3. Step 3: Cross multiply
    410.69x = 566.65 × 244.94
  4. Step 4: Simplify right side
    410.69x = 138,794.53
  5. Step 5: Solve for x
    x = 138,794.53/410.69
  6. Step 6: Final answer
    x = 337.96

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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.