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Finding the Fourth Proportional to 409.84, 565.40 and 254.50

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Solution

The fourth proportional to 409.84, 565.40 and 254.50 is: 351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.84 : 565.40 = 254.50 : x
  2. Step 2: Convert to fraction form
    409.84/565.40 = 254.50/x
  3. Step 3: Cross multiply
    409.84x = 565.40 × 254.50
  4. Step 4: Simplify right side
    409.84x = 143,894.30
  5. Step 5: Solve for x
    x = 143,894.30/409.84
  6. Step 6: Final answer
    x = 351.10

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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.