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Finding the Fourth Proportional to 390.24, 538.56 and 235.20

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Solution

The fourth proportional to 390.24, 538.56 and 235.20 is: 324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.24 : 538.56 = 235.20 : x
  2. Step 2: Convert to fraction form
    390.24/538.56 = 235.20/x
  3. Step 3: Cross multiply
    390.24x = 538.56 × 235.20
  4. Step 4: Simplify right side
    390.24x = 126,669.31
  5. Step 5: Solve for x
    x = 126,669.31/390.24
  6. Step 6: Final answer
    x = 324.59

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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.