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Finding the Fourth Proportional to 651.38, 976.30 and 343.07

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Solution

The fourth proportional to 651.38, 976.30 and 343.07 is: 514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.38 : 976.30 = 343.07 : x
  2. Step 2: Convert to fraction form
    651.38/976.30 = 343.07/x
  3. Step 3: Cross multiply
    651.38x = 976.30 × 343.07
  4. Step 4: Simplify right side
    651.38x = 334,944.58
  5. Step 5: Solve for x
    x = 334,944.58/651.38
  6. Step 6: Final answer
    x = 514.21

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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.