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Finding the Fourth Proportional to 524.56, 723.72 and 367.24

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Solution

The fourth proportional to 524.56, 723.72 and 367.24 is: 506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.56 : 723.72 = 367.24 : x
  2. Step 2: Convert to fraction form
    524.56/723.72 = 367.24/x
  3. Step 3: Cross multiply
    524.56x = 723.72 × 367.24
  4. Step 4: Simplify right side
    524.56x = 265,778.93
  5. Step 5: Solve for x
    x = 265,778.93/524.56
  6. Step 6: Final answer
    x = 506.67

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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.