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Finding the Fourth Proportional to 494.10, 681.19 and 409.76

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Solution

The fourth proportional to 494.10, 681.19 and 409.76 is: 564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.10 : 681.19 = 409.76 : x
  2. Step 2: Convert to fraction form
    494.10/681.19 = 409.76/x
  3. Step 3: Cross multiply
    494.10x = 681.19 × 409.76
  4. Step 4: Simplify right side
    494.10x = 279,123.98
  5. Step 5: Solve for x
    x = 279,123.98/494.10
  6. Step 6: Final answer
    x = 564.92

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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.