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Finding the Fourth Proportional to 589.83, 813.68 and 415.27

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Solution

The fourth proportional to 589.83, 813.68 and 415.27 is: 572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.83 : 813.68 = 415.27 : x
  2. Step 2: Convert to fraction form
    589.83/813.68 = 415.27/x
  3. Step 3: Cross multiply
    589.83x = 813.68 × 415.27
  4. Step 4: Simplify right side
    589.83x = 337,896.89
  5. Step 5: Solve for x
    x = 337,896.89/589.83
  6. Step 6: Final answer
    x = 572.87

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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.