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Finding the Fourth Proportional to 390.24, 538.54 and 232.96

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Solution

The fourth proportional to 390.24, 538.54 and 232.96 is: 321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.24 : 538.54 = 232.96 : x
  2. Step 2: Convert to fraction form
    390.24/538.54 = 232.96/x
  3. Step 3: Cross multiply
    390.24x = 538.54 × 232.96
  4. Step 4: Simplify right side
    390.24x = 125,458.28
  5. Step 5: Solve for x
    x = 125,458.28/390.24
  6. Step 6: Final answer
    x = 321.49

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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.