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Finding the Fourth Proportional to 524.16, 723 and 327.60

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Solution

The fourth proportional to 524.16, 723 and 327.60 is: 451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.16 : 723 = 327.60 : x
  2. Step 2: Convert to fraction form
    524.16/723 = 327.60/x
  3. Step 3: Cross multiply
    524.16x = 723 × 327.60
  4. Step 4: Simplify right side
    524.16x = 236,854.80
  5. Step 5: Solve for x
    x = 236,854.80/524.16
  6. Step 6: Final answer
    x = 451.88

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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.