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Finding the Fourth Proportional to 412.47, 569.21 and 237.81

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Solution

The fourth proportional to 412.47, 569.21 and 237.81 is: 328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.47 : 569.21 = 237.81 : x
  2. Step 2: Convert to fraction form
    412.47/569.21 = 237.81/x
  3. Step 3: Cross multiply
    412.47x = 569.21 × 237.81
  4. Step 4: Simplify right side
    412.47x = 135,363.83
  5. Step 5: Solve for x
    x = 135,363.83/412.47
  6. Step 6: Final answer
    x = 328.18

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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.