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Finding the Fourth Proportional to 467.24, 644.40 and 367.52

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Solution

The fourth proportional to 467.24, 644.40 and 367.52 is: 506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.24 : 644.40 = 367.52 : x
  2. Step 2: Convert to fraction form
    467.24/644.40 = 367.52/x
  3. Step 3: Cross multiply
    467.24x = 644.40 × 367.52
  4. Step 4: Simplify right side
    467.24x = 236,829.89
  5. Step 5: Solve for x
    x = 236,829.89/467.24
  6. Step 6: Final answer
    x = 506.87

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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.