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Finding the Fourth Proportional to 460.91, 691.50 and 244.64

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Solution

The fourth proportional to 460.91, 691.50 and 244.64 is: 367.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.91 : 691.50 = 244.64 : x
  2. Step 2: Convert to fraction form
    460.91/691.50 = 244.64/x
  3. Step 3: Cross multiply
    460.91x = 691.50 × 244.64
  4. Step 4: Simplify right side
    460.91x = 169,168.56
  5. Step 5: Solve for x
    x = 169,168.56/460.91
  6. Step 6: Final answer
    x = 367.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.