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Finding the Fourth Proportional to 390.13, 584.24 and 227.32

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Solution

The fourth proportional to 390.13, 584.24 and 227.32 is: 340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.13 : 584.24 = 227.32 : x
  2. Step 2: Convert to fraction form
    390.13/584.24 = 227.32/x
  3. Step 3: Cross multiply
    390.13x = 584.24 × 227.32
  4. Step 4: Simplify right side
    390.13x = 132,808.30
  5. Step 5: Solve for x
    x = 132,808.30/390.13
  6. Step 6: Final answer
    x = 340.42

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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.