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Finding the Fourth Proportional to 409.75, 565.39 and 269.93

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Solution

The fourth proportional to 409.75, 565.39 and 269.93 is: 372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.75 : 565.39 = 269.93 : x
  2. Step 2: Convert to fraction form
    409.75/565.39 = 269.93/x
  3. Step 3: Cross multiply
    409.75x = 565.39 × 269.93
  4. Step 4: Simplify right side
    409.75x = 152,614.29
  5. Step 5: Solve for x
    x = 152,614.29/409.75
  6. Step 6: Final answer
    x = 372.45

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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.