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Finding the Fourth Proportional to 323.04, 483.96 and 258.76

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Solution

The fourth proportional to 323.04, 483.96 and 258.76 is: 387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.04 : 483.96 = 258.76 : x
  2. Step 2: Convert to fraction form
    323.04/483.96 = 258.76/x
  3. Step 3: Cross multiply
    323.04x = 483.96 × 258.76
  4. Step 4: Simplify right side
    323.04x = 125,229.49
  5. Step 5: Solve for x
    x = 125,229.49/323.04
  6. Step 6: Final answer
    x = 387.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.