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Finding the Fourth Proportional to 412.87, 569.96 and 238.18

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Solution

The fourth proportional to 412.87, 569.96 and 238.18 is: 328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.87 : 569.96 = 238.18 : x
  2. Step 2: Convert to fraction form
    412.87/569.96 = 238.18/x
  3. Step 3: Cross multiply
    412.87x = 569.96 × 238.18
  4. Step 4: Simplify right side
    412.87x = 135,753.07
  5. Step 5: Solve for x
    x = 135,753.07/412.87
  6. Step 6: Final answer
    x = 328.80

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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.