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Finding the Fourth Proportional to 390.52, 539 and 324.96

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Solution

The fourth proportional to 390.52, 539 and 324.96 is: 448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.52 : 539 = 324.96 : x
  2. Step 2: Convert to fraction form
    390.52/539 = 324.96/x
  3. Step 3: Cross multiply
    390.52x = 539 × 324.96
  4. Step 4: Simplify right side
    390.52x = 175,153.44
  5. Step 5: Solve for x
    x = 175,153.44/390.52
  6. Step 6: Final answer
    x = 448.51

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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.