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Finding the Fourth Proportional to 390.15, 538.28 and 224.27

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Solution

The fourth proportional to 390.15, 538.28 and 224.27 is: 309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.15 : 538.28 = 224.27 : x
  2. Step 2: Convert to fraction form
    390.15/538.28 = 224.27/x
  3. Step 3: Cross multiply
    390.15x = 538.28 × 224.27
  4. Step 4: Simplify right side
    390.15x = 120,719.10
  5. Step 5: Solve for x
    x = 120,719.10/390.15
  6. Step 6: Final answer
    x = 309.42

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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.