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Finding the Fourth Proportional to 390.36, 584.59 and 227.55

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Solution

The fourth proportional to 390.36, 584.59 and 227.55 is: 340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.36 : 584.59 = 227.55 : x
  2. Step 2: Convert to fraction form
    390.36/584.59 = 227.55/x
  3. Step 3: Cross multiply
    390.36x = 584.59 × 227.55
  4. Step 4: Simplify right side
    390.36x = 133,023.45
  5. Step 5: Solve for x
    x = 133,023.45/390.36
  6. Step 6: Final answer
    x = 340.77

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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.