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Finding the Fourth Proportional to 390.86, 539.42 and 225.08

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Solution

The fourth proportional to 390.86, 539.42 and 225.08 is: 310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.86 : 539.42 = 225.08 : x
  2. Step 2: Convert to fraction form
    390.86/539.42 = 225.08/x
  3. Step 3: Cross multiply
    390.86x = 539.42 × 225.08
  4. Step 4: Simplify right side
    390.86x = 121,412.65
  5. Step 5: Solve for x
    x = 121,412.65/390.86
  6. Step 6: Final answer
    x = 310.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.