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Finding the Fourth Proportional to 524.91, 723.13 and 367.27

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Solution

The fourth proportional to 524.91, 723.13 and 367.27 is: 505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.91 : 723.13 = 367.27 : x
  2. Step 2: Convert to fraction form
    524.91/723.13 = 367.27/x
  3. Step 3: Cross multiply
    524.91x = 723.13 × 367.27
  4. Step 4: Simplify right side
    524.91x = 265,583.96
  5. Step 5: Solve for x
    x = 265,583.96/524.91
  6. Step 6: Final answer
    x = 505.96

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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.