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Finding the Fourth Proportional to 524.42, 723.84 and 327.90

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Solution

The fourth proportional to 524.42, 723.84 and 327.90 is: 452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.42 : 723.84 = 327.90 : x
  2. Step 2: Convert to fraction form
    524.42/723.84 = 327.90/x
  3. Step 3: Cross multiply
    524.42x = 723.84 × 327.90
  4. Step 4: Simplify right side
    524.42x = 237,344.55
  5. Step 5: Solve for x
    x = 237,344.55/524.42
  6. Step 6: Final answer
    x = 452.58

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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.