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Finding the Fourth Proportional to 589.82, 813.65 and 414.86

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Solution

The fourth proportional to 589.82, 813.65 and 414.86 is: 572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.82 : 813.65 = 414.86 : x
  2. Step 2: Convert to fraction form
    589.82/813.65 = 414.86/x
  3. Step 3: Cross multiply
    589.82x = 813.65 × 414.86
  4. Step 4: Simplify right side
    589.82x = 337,544.70
  5. Step 5: Solve for x
    x = 337,544.70/589.82
  6. Step 6: Final answer
    x = 572.29

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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.