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Finding the Fourth Proportional to 389.34, 584.15 and 227.07

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Solution

The fourth proportional to 389.34, 584.15 and 227.07 is: 340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.34 : 584.15 = 227.07 : x
  2. Step 2: Convert to fraction form
    389.34/584.15 = 227.07/x
  3. Step 3: Cross multiply
    389.34x = 584.15 × 227.07
  4. Step 4: Simplify right side
    389.34x = 132,641.81
  5. Step 5: Solve for x
    x = 132,641.81/389.34
  6. Step 6: Final answer
    x = 340.68

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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.