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Finding the Fourth Proportional to 589.48, 813.48 and 353.47

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Solution

The fourth proportional to 589.48, 813.48 and 353.47 is: 487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.48 : 813.48 = 353.47 : x
  2. Step 2: Convert to fraction form
    589.48/813.48 = 353.47/x
  3. Step 3: Cross multiply
    589.48x = 813.48 × 353.47
  4. Step 4: Simplify right side
    589.48x = 287,540.78
  5. Step 5: Solve for x
    x = 287,540.78/589.48
  6. Step 6: Final answer
    x = 487.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.