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Finding the Fourth Proportional to 589.77, 813.78 and 379.89

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Solution

The fourth proportional to 589.77, 813.78 and 379.89 is: 524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.77 : 813.78 = 379.89 : x
  2. Step 2: Convert to fraction form
    589.77/813.78 = 379.89/x
  3. Step 3: Cross multiply
    589.77x = 813.78 × 379.89
  4. Step 4: Simplify right side
    589.77x = 309,146.88
  5. Step 5: Solve for x
    x = 309,146.88/589.77
  6. Step 6: Final answer
    x = 524.18

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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.