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Finding the Fourth Proportional to 589.33, 813.42 and 402.89

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Solution

The fourth proportional to 589.33, 813.42 and 402.89 is: 556.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.33 : 813.42 = 402.89 : x
  2. Step 2: Convert to fraction form
    589.33/813.42 = 402.89/x
  3. Step 3: Cross multiply
    589.33x = 813.42 × 402.89
  4. Step 4: Simplify right side
    589.33x = 327,720.82
  5. Step 5: Solve for x
    x = 327,720.82/589.33
  6. Step 6: Final answer
    x = 556.09

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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.