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Finding the Fourth Proportional to 390.74, 539.24 and 233.42

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Solution

The fourth proportional to 390.74, 539.24 and 233.42 is: 322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.74 : 539.24 = 233.42 : x
  2. Step 2: Convert to fraction form
    390.74/539.24 = 233.42/x
  3. Step 3: Cross multiply
    390.74x = 539.24 × 233.42
  4. Step 4: Simplify right side
    390.74x = 125,865.54
  5. Step 5: Solve for x
    x = 125,865.54/390.74
  6. Step 6: Final answer
    x = 322.13

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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.