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Finding the Fourth Proportional to 409.25, 565.02 and 315.83

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Solution

The fourth proportional to 409.25, 565.02 and 315.83 is: 436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.25 : 565.02 = 315.83 : x
  2. Step 2: Convert to fraction form
    409.25/565.02 = 315.83/x
  3. Step 3: Cross multiply
    409.25x = 565.02 × 315.83
  4. Step 4: Simplify right side
    409.25x = 178,451.68
  5. Step 5: Solve for x
    x = 178,451.68/409.25
  6. Step 6: Final answer
    x = 436.04

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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.