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Finding the Fourth Proportional to 409.82, 565.77 and 392.40

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Solution

The fourth proportional to 409.82, 565.77 and 392.40 is: 541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.82 : 565.77 = 392.40 : x
  2. Step 2: Convert to fraction form
    409.82/565.77 = 392.40/x
  3. Step 3: Cross multiply
    409.82x = 565.77 × 392.40
  4. Step 4: Simplify right side
    409.82x = 222,008.15
  5. Step 5: Solve for x
    x = 222,008.15/409.82
  6. Step 6: Final answer
    x = 541.73

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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.