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Finding the Fourth Proportional to 589.44, 813.78 and 414.96

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Solution

The fourth proportional to 589.44, 813.78 and 414.96 is: 572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.44 : 813.78 = 414.96 : x
  2. Step 2: Convert to fraction form
    589.44/813.78 = 414.96/x
  3. Step 3: Cross multiply
    589.44x = 813.78 × 414.96
  4. Step 4: Simplify right side
    589.44x = 337,686.15
  5. Step 5: Solve for x
    x = 337,686.15/589.44
  6. Step 6: Final answer
    x = 572.89

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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.