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Finding the Fourth Proportional to 390.29, 538.69 and 224.54

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Solution

The fourth proportional to 390.29, 538.69 and 224.54 is: 309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.29 : 538.69 = 224.54 : x
  2. Step 2: Convert to fraction form
    390.29/538.69 = 224.54/x
  3. Step 3: Cross multiply
    390.29x = 538.69 × 224.54
  4. Step 4: Simplify right side
    390.29x = 120,957.45
  5. Step 5: Solve for x
    x = 120,957.45/390.29
  6. Step 6: Final answer
    x = 309.92

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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.