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Finding the Fourth Proportional to 652.66, 977.67 and 343.44

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Solution

The fourth proportional to 652.66, 977.67 and 343.44 is: 514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.66 : 977.67 = 343.44 : x
  2. Step 2: Convert to fraction form
    652.66/977.67 = 343.44/x
  3. Step 3: Cross multiply
    652.66x = 977.67 × 343.44
  4. Step 4: Simplify right side
    652.66x = 335,770.98
  5. Step 5: Solve for x
    x = 335,770.98/652.66
  6. Step 6: Final answer
    x = 514.47

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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.