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Finding the Fourth Proportional to 389.80, 538.01 and 224.05

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Solution

The fourth proportional to 389.80, 538.01 and 224.05 is: 309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.80 : 538.01 = 224.05 : x
  2. Step 2: Convert to fraction form
    389.80/538.01 = 224.05/x
  3. Step 3: Cross multiply
    389.80x = 538.01 × 224.05
  4. Step 4: Simplify right side
    389.80x = 120,541.14
  5. Step 5: Solve for x
    x = 120,541.14/389.80
  6. Step 6: Final answer
    x = 309.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.