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Finding the Fourth Proportional to 589.70, 813.90 and 414.95

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Solution

The fourth proportional to 589.70, 813.90 and 414.95 is: 572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.70 : 813.90 = 414.95 : x
  2. Step 2: Convert to fraction form
    589.70/813.90 = 414.95/x
  3. Step 3: Cross multiply
    589.70x = 813.90 × 414.95
  4. Step 4: Simplify right side
    589.70x = 337,723.74
  5. Step 5: Solve for x
    x = 337,723.74/589.70
  6. Step 6: Final answer
    x = 572.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.