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Finding the Fourth Proportional to 589.28, 883.82 and 260.29

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Solution

The fourth proportional to 589.28, 883.82 and 260.29 is: 390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.28 : 883.82 = 260.29 : x
  2. Step 2: Convert to fraction form
    589.28/883.82 = 260.29/x
  3. Step 3: Cross multiply
    589.28x = 883.82 × 260.29
  4. Step 4: Simplify right side
    589.28x = 230,043.79
  5. Step 5: Solve for x
    x = 230,043.79/589.28
  6. Step 6: Final answer
    x = 390.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.