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Finding the Fourth Proportional to 390.75, 539.24 and 235.50

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Solution

The fourth proportional to 390.75, 539.24 and 235.50 is: 324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.75 : 539.24 = 235.50 : x
  2. Step 2: Convert to fraction form
    390.75/539.24 = 235.50/x
  3. Step 3: Cross multiply
    390.75x = 539.24 × 235.50
  4. Step 4: Simplify right side
    390.75x = 126,989.84
  5. Step 5: Solve for x
    x = 126,989.84/390.75
  6. Step 6: Final answer
    x = 324.99

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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.