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Finding the Fourth Proportional to 524.24, 723.40 and 327.72

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Solution

The fourth proportional to 524.24, 723.40 and 327.72 is: 452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.24 : 723.40 = 327.72 : x
  2. Step 2: Convert to fraction form
    524.24/723.40 = 327.72/x
  3. Step 3: Cross multiply
    524.24x = 723.40 × 327.72
  4. Step 4: Simplify right side
    524.24x = 237,072.65
  5. Step 5: Solve for x
    x = 237,072.65/524.24
  6. Step 6: Final answer
    x = 452.22

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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.