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Finding the Fourth Proportional to 412.38, 615.76 and 366.20

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Solution

The fourth proportional to 412.38, 615.76 and 366.20 is: 546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.38 : 615.76 = 366.20 : x
  2. Step 2: Convert to fraction form
    412.38/615.76 = 366.20/x
  3. Step 3: Cross multiply
    412.38x = 615.76 × 366.20
  4. Step 4: Simplify right side
    412.38x = 225,491.31
  5. Step 5: Solve for x
    x = 225,491.31/412.38
  6. Step 6: Final answer
    x = 546.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.