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Finding the Fourth Proportional to 410.23, 615.02 and 204.69

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Solution

The fourth proportional to 410.23, 615.02 and 204.69 is: 306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.23 : 615.02 = 204.69 : x
  2. Step 2: Convert to fraction form
    410.23/615.02 = 204.69/x
  3. Step 3: Cross multiply
    410.23x = 615.02 × 204.69
  4. Step 4: Simplify right side
    410.23x = 125,888.44
  5. Step 5: Solve for x
    x = 125,888.44/410.23
  6. Step 6: Final answer
    x = 306.87

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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.