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Finding the Fourth Proportional to 389.81, 538.01 and 242.43

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Solution

The fourth proportional to 389.81, 538.01 and 242.43 is: 334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.81 : 538.01 = 242.43 : x
  2. Step 2: Convert to fraction form
    389.81/538.01 = 242.43/x
  3. Step 3: Cross multiply
    389.81x = 538.01 × 242.43
  4. Step 4: Simplify right side
    389.81x = 130,427.44
  5. Step 5: Solve for x
    x = 130,427.44/389.81
  6. Step 6: Final answer
    x = 334.59

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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.