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Finding the Fourth Proportional to 589.24, 883.86 and 247.48

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Solution

The fourth proportional to 589.24, 883.86 and 247.48 is: 371.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.24 : 883.86 = 247.48 : x
  2. Step 2: Convert to fraction form
    589.24/883.86 = 247.48/x
  3. Step 3: Cross multiply
    589.24x = 883.86 × 247.48
  4. Step 4: Simplify right side
    589.24x = 218,737.67
  5. Step 5: Solve for x
    x = 218,737.67/589.24
  6. Step 6: Final answer
    x = 371.22

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Why These Related Problems?

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