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Finding the Fourth Proportional to 409.78, 565.59 and 254.50

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Solution

The fourth proportional to 409.78, 565.59 and 254.50 is: 351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.78 : 565.59 = 254.50 : x
  2. Step 2: Convert to fraction form
    409.78/565.59 = 254.50/x
  3. Step 3: Cross multiply
    409.78x = 565.59 × 254.50
  4. Step 4: Simplify right side
    409.78x = 143,942.66
  5. Step 5: Solve for x
    x = 143,942.66/409.78
  6. Step 6: Final answer
    x = 351.27

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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.