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Finding the Fourth Proportional to 412.54, 569.25 and 237.89

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Solution

The fourth proportional to 412.54, 569.25 and 237.89 is: 328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.54 : 569.25 = 237.89 : x
  2. Step 2: Convert to fraction form
    412.54/569.25 = 237.89/x
  3. Step 3: Cross multiply
    412.54x = 569.25 × 237.89
  4. Step 4: Simplify right side
    412.54x = 135,420.31
  5. Step 5: Solve for x
    x = 135,420.31/412.54
  6. Step 6: Final answer
    x = 328.26

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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.