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Finding the Fourth Proportional to 412.43, 569.36 and 237.74

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Solution

The fourth proportional to 412.43, 569.36 and 237.74 is: 328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.43 : 569.36 = 237.74 : x
  2. Step 2: Convert to fraction form
    412.43/569.36 = 237.74/x
  3. Step 3: Cross multiply
    412.43x = 569.36 × 237.74
  4. Step 4: Simplify right side
    412.43x = 135,359.88
  5. Step 5: Solve for x
    x = 135,359.88/412.43
  6. Step 6: Final answer
    x = 328.20

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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.