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Finding the Fourth Proportional to 650.95, 976.82 and 343.02

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Solution

The fourth proportional to 650.95, 976.82 and 343.02 is: 514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.95 : 976.82 = 343.02 : x
  2. Step 2: Convert to fraction form
    650.95/976.82 = 343.02/x
  3. Step 3: Cross multiply
    650.95x = 976.82 × 343.02
  4. Step 4: Simplify right side
    650.95x = 335,068.80
  5. Step 5: Solve for x
    x = 335,068.80/650.95
  6. Step 6: Final answer
    x = 514.74

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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.