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Finding the Fourth Proportional to 410.28, 614.69 and 191.10

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Solution

The fourth proportional to 410.28, 614.69 and 191.10 is: 286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.28 : 614.69 = 191.10 : x
  2. Step 2: Convert to fraction form
    410.28/614.69 = 191.10/x
  3. Step 3: Cross multiply
    410.28x = 614.69 × 191.10
  4. Step 4: Simplify right side
    410.28x = 117,466.30
  5. Step 5: Solve for x
    x = 117,466.30/410.28
  6. Step 6: Final answer
    x = 286.31

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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.