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Finding the Fourth Proportional to 411.43, 615.61 and 246.30

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Solution

The fourth proportional to 411.43, 615.61 and 246.30 is: 368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.43 : 615.61 = 246.30 : x
  2. Step 2: Convert to fraction form
    411.43/615.61 = 246.30/x
  3. Step 3: Cross multiply
    411.43x = 615.61 × 246.30
  4. Step 4: Simplify right side
    411.43x = 151,624.74
  5. Step 5: Solve for x
    x = 151,624.74/411.43
  6. Step 6: Final answer
    x = 368.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.