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Finding the Fourth Proportional to 410.71, 616.06 and 289.97

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Solution

The fourth proportional to 410.71, 616.06 and 289.97 is: 434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.71 : 616.06 = 289.97 : x
  2. Step 2: Convert to fraction form
    410.71/616.06 = 289.97/x
  3. Step 3: Cross multiply
    410.71x = 616.06 × 289.97
  4. Step 4: Simplify right side
    410.71x = 178,635.11
  5. Step 5: Solve for x
    x = 178,635.11/410.71
  6. Step 6: Final answer
    x = 434.94

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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.