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Finding the Fourth Proportional to 412.63, 569.36 and 237.94

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Solution

The fourth proportional to 412.63, 569.36 and 237.94 is: 328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.63 : 569.36 = 237.94 : x
  2. Step 2: Convert to fraction form
    412.63/569.36 = 237.94/x
  3. Step 3: Cross multiply
    412.63x = 569.36 × 237.94
  4. Step 4: Simplify right side
    412.63x = 135,472.69
  5. Step 5: Solve for x
    x = 135,472.69/412.63
  6. Step 6: Final answer
    x = 328.32

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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.