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Finding the Fourth Proportional to 390.54, 538.96 and 243.12

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Solution

The fourth proportional to 390.54, 538.96 and 243.12 is: 335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.54 : 538.96 = 243.12 : x
  2. Step 2: Convert to fraction form
    390.54/538.96 = 243.12/x
  3. Step 3: Cross multiply
    390.54x = 538.96 × 243.12
  4. Step 4: Simplify right side
    390.54x = 131,031.96
  5. Step 5: Solve for x
    x = 131,031.96/390.54
  6. Step 6: Final answer
    x = 335.51

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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.