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Finding the Fourth Proportional to 410.04, 565.78 and 254.84

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Solution

The fourth proportional to 410.04, 565.78 and 254.84 is: 351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.04 : 565.78 = 254.84 : x
  2. Step 2: Convert to fraction form
    410.04/565.78 = 254.84/x
  3. Step 3: Cross multiply
    410.04x = 565.78 × 254.84
  4. Step 4: Simplify right side
    410.04x = 144,183.38
  5. Step 5: Solve for x
    x = 144,183.38/410.04
  6. Step 6: Final answer
    x = 351.63

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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.