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Finding the Fourth Proportional to 460.72, 691.44 and 351.38

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Solution

The fourth proportional to 460.72, 691.44 and 351.38 is: 527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.72 : 691.44 = 351.38 : x
  2. Step 2: Convert to fraction form
    460.72/691.44 = 351.38/x
  3. Step 3: Cross multiply
    460.72x = 691.44 × 351.38
  4. Step 4: Simplify right side
    460.72x = 242,958.19
  5. Step 5: Solve for x
    x = 242,958.19/460.72
  6. Step 6: Final answer
    x = 527.34

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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.