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Finding the Fourth Proportional to 412.61, 569.38 and 246.91

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Solution

The fourth proportional to 412.61, 569.38 and 246.91 is: 340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.61 : 569.38 = 246.91 : x
  2. Step 2: Convert to fraction form
    412.61/569.38 = 246.91/x
  3. Step 3: Cross multiply
    412.61x = 569.38 × 246.91
  4. Step 4: Simplify right side
    412.61x = 140,584.38
  5. Step 5: Solve for x
    x = 140,584.38/412.61
  6. Step 6: Final answer
    x = 340.72

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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.