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Finding the Fourth Proportional to 409.91, 565.85 and 285.52

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Solution

The fourth proportional to 409.91, 565.85 and 285.52 is: 394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.91 : 565.85 = 285.52 : x
  2. Step 2: Convert to fraction form
    409.91/565.85 = 285.52/x
  3. Step 3: Cross multiply
    409.91x = 565.85 × 285.52
  4. Step 4: Simplify right side
    409.91x = 161,561.49
  5. Step 5: Solve for x
    x = 161,561.49/409.91
  6. Step 6: Final answer
    x = 394.14

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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.