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Finding the Fourth Proportional to 390, 538.19 and 224.24

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Solution

The fourth proportional to 390, 538.19 and 224.24 is: 309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390 : 538.19 = 224.24 : x
  2. Step 2: Convert to fraction form
    390/538.19 = 224.24/x
  3. Step 3: Cross multiply
    390x = 538.19 × 224.24
  4. Step 4: Simplify right side
    390x = 120,679.91
  5. Step 5: Solve for x
    x = 120,679.91/390
  6. Step 6: Final answer
    x = 309.44

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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.