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Finding the Fourth Proportional to 412.38, 569.15 and 237.82

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Solution

The fourth proportional to 412.38, 569.15 and 237.82 is: 328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.38 : 569.15 = 237.82 : x
  2. Step 2: Convert to fraction form
    412.38/569.15 = 237.82/x
  3. Step 3: Cross multiply
    412.38x = 569.15 × 237.82
  4. Step 4: Simplify right side
    412.38x = 135,355.25
  5. Step 5: Solve for x
    x = 135,355.25/412.38
  6. Step 6: Final answer
    x = 328.23

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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.