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Finding the Fourth Proportional to 409.12, 565.44 and 393.76

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Solution

The fourth proportional to 409.12, 565.44 and 393.76 is: 544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.12 : 565.44 = 393.76 : x
  2. Step 2: Convert to fraction form
    409.12/565.44 = 393.76/x
  3. Step 3: Cross multiply
    409.12x = 565.44 × 393.76
  4. Step 4: Simplify right side
    409.12x = 222,647.65
  5. Step 5: Solve for x
    x = 222,647.65/409.12
  6. Step 6: Final answer
    x = 544.21

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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.