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Finding the Fourth Proportional to 410.04, 615.24 and 204.57

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Solution

The fourth proportional to 410.04, 615.24 and 204.57 is: 306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.04 : 615.24 = 204.57 : x
  2. Step 2: Convert to fraction form
    410.04/615.24 = 204.57/x
  3. Step 3: Cross multiply
    410.04x = 615.24 × 204.57
  4. Step 4: Simplify right side
    410.04x = 125,859.65
  5. Step 5: Solve for x
    x = 125,859.65/410.04
  6. Step 6: Final answer
    x = 306.94

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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.