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Finding the Fourth Proportional to 390.20, 538.46 and 250.12

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Solution

The fourth proportional to 390.20, 538.46 and 250.12 is: 345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.20 : 538.46 = 250.12 : x
  2. Step 2: Convert to fraction form
    390.20/538.46 = 250.12/x
  3. Step 3: Cross multiply
    390.20x = 538.46 × 250.12
  4. Step 4: Simplify right side
    390.20x = 134,679.62
  5. Step 5: Solve for x
    x = 134,679.62/390.20
  6. Step 6: Final answer
    x = 345.16

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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.