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Finding the Fourth Proportional to 390.16, 538.38 and 224.38

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Solution

The fourth proportional to 390.16, 538.38 and 224.38 is: 309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.16 : 538.38 = 224.38 : x
  2. Step 2: Convert to fraction form
    390.16/538.38 = 224.38/x
  3. Step 3: Cross multiply
    390.16x = 538.38 × 224.38
  4. Step 4: Simplify right side
    390.16x = 120,801.70
  5. Step 5: Solve for x
    x = 120,801.70/390.16
  6. Step 6: Final answer
    x = 309.62

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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.