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Finding the Fourth Proportional to 524.12, 723.40 and 327.76

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Solution

The fourth proportional to 524.12, 723.40 and 327.76 is: 452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.12 : 723.40 = 327.76 : x
  2. Step 2: Convert to fraction form
    524.12/723.40 = 327.76/x
  3. Step 3: Cross multiply
    524.12x = 723.40 × 327.76
  4. Step 4: Simplify right side
    524.12x = 237,101.58
  5. Step 5: Solve for x
    x = 237,101.58/524.12
  6. Step 6: Final answer
    x = 452.38

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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.