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Finding the Fourth Proportional to 308.55, 424.97 and 261.78

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Solution

The fourth proportional to 308.55, 424.97 and 261.78 is: 360.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.55 : 424.97 = 261.78 : x
  2. Step 2: Convert to fraction form
    308.55/424.97 = 261.78/x
  3. Step 3: Cross multiply
    308.55x = 424.97 × 261.78
  4. Step 4: Simplify right side
    308.55x = 111,248.65
  5. Step 5: Solve for x
    x = 111,248.65/308.55
  6. Step 6: Final answer
    x = 360.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.