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Finding the Fourth Proportional to 524.41, 723.84 and 327.92

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Solution

The fourth proportional to 524.41, 723.84 and 327.92 is: 452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.41 : 723.84 = 327.92 : x
  2. Step 2: Convert to fraction form
    524.41/723.84 = 327.92/x
  3. Step 3: Cross multiply
    524.41x = 723.84 × 327.92
  4. Step 4: Simplify right side
    524.41x = 237,356.76
  5. Step 5: Solve for x
    x = 237,356.76/524.41
  6. Step 6: Final answer
    x = 452.62

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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.