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Finding the Fourth Proportional to 523.40, 720.42 and 367.88

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Solution

The fourth proportional to 523.40, 720.42 and 367.88 is: 506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.40 : 720.42 = 367.88 : x
  2. Step 2: Convert to fraction form
    523.40/720.42 = 367.88/x
  3. Step 3: Cross multiply
    523.40x = 720.42 × 367.88
  4. Step 4: Simplify right side
    523.40x = 265,028.11
  5. Step 5: Solve for x
    x = 265,028.11/523.40
  6. Step 6: Final answer
    x = 506.36

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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.