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Finding the Fourth Proportional to 390.12, 538.45 and 224.37

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Solution

The fourth proportional to 390.12, 538.45 and 224.37 is: 309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.12 : 538.45 = 224.37 : x
  2. Step 2: Convert to fraction form
    390.12/538.45 = 224.37/x
  3. Step 3: Cross multiply
    390.12x = 538.45 × 224.37
  4. Step 4: Simplify right side
    390.12x = 120,811.47
  5. Step 5: Solve for x
    x = 120,811.47/390.12
  6. Step 6: Final answer
    x = 309.68

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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.