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Finding the Fourth Proportional to 389.87, 538.06 and 224.10

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Solution

The fourth proportional to 389.87, 538.06 and 224.10 is: 309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.87 : 538.06 = 224.10 : x
  2. Step 2: Convert to fraction form
    389.87/538.06 = 224.10/x
  3. Step 3: Cross multiply
    389.87x = 538.06 × 224.10
  4. Step 4: Simplify right side
    389.87x = 120,579.25
  5. Step 5: Solve for x
    x = 120,579.25/389.87
  6. Step 6: Final answer
    x = 309.28

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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.