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Finding the Fourth Proportional to 410.30, 565.71 and 254.78

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Solution

The fourth proportional to 410.30, 565.71 and 254.78 is: 351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.30 : 565.71 = 254.78 : x
  2. Step 2: Convert to fraction form
    410.30/565.71 = 254.78/x
  3. Step 3: Cross multiply
    410.30x = 565.71 × 254.78
  4. Step 4: Simplify right side
    410.30x = 144,131.59
  5. Step 5: Solve for x
    x = 144,131.59/410.30
  6. Step 6: Final answer
    x = 351.28

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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.