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Finding the Fourth Proportional to 410.95, 614.56 and 306.91

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Solution

The fourth proportional to 410.95, 614.56 and 306.91 is: 458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.95 : 614.56 = 306.91 : x
  2. Step 2: Convert to fraction form
    410.95/614.56 = 306.91/x
  3. Step 3: Cross multiply
    410.95x = 614.56 × 306.91
  4. Step 4: Simplify right side
    410.95x = 188,613.08
  5. Step 5: Solve for x
    x = 188,613.08/410.95
  6. Step 6: Final answer
    x = 458.97

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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.