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Finding the Fourth Proportional to 412.34, 569.12 and 237.78

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Solution

The fourth proportional to 412.34, 569.12 and 237.78 is: 328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.34 : 569.12 = 237.78 : x
  2. Step 2: Convert to fraction form
    412.34/569.12 = 237.78/x
  3. Step 3: Cross multiply
    412.34x = 569.12 × 237.78
  4. Step 4: Simplify right side
    412.34x = 135,324.16
  5. Step 5: Solve for x
    x = 135,324.16/412.34
  6. Step 6: Final answer
    x = 328.19

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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.