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Finding the Fourth Proportional to 410.10, 614.71 and 204.27

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Solution

The fourth proportional to 410.10, 614.71 and 204.27 is: 306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.10 : 614.71 = 204.27 : x
  2. Step 2: Convert to fraction form
    410.10/614.71 = 204.27/x
  3. Step 3: Cross multiply
    410.10x = 614.71 × 204.27
  4. Step 4: Simplify right side
    410.10x = 125,566.81
  5. Step 5: Solve for x
    x = 125,566.81/410.10
  6. Step 6: Final answer
    x = 306.19

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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.