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Finding the Fourth Proportional to 389.95, 538.14 and 224.14

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Solution

The fourth proportional to 389.95, 538.14 and 224.14 is: 309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.95 : 538.14 = 224.14 : x
  2. Step 2: Convert to fraction form
    389.95/538.14 = 224.14/x
  3. Step 3: Cross multiply
    389.95x = 538.14 × 224.14
  4. Step 4: Simplify right side
    389.95x = 120,618.70
  5. Step 5: Solve for x
    x = 120,618.70/389.95
  6. Step 6: Final answer
    x = 309.32

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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.