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Finding the Fourth Proportional to 366.40, 505.16 and 261.61

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Solution

The fourth proportional to 366.40, 505.16 and 261.61 is: 360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.40 : 505.16 = 261.61 : x
  2. Step 2: Convert to fraction form
    366.40/505.16 = 261.61/x
  3. Step 3: Cross multiply
    366.40x = 505.16 × 261.61
  4. Step 4: Simplify right side
    366.40x = 132,154.91
  5. Step 5: Solve for x
    x = 132,154.91/366.40
  6. Step 6: Final answer
    x = 360.68

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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.