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Finding the Fourth Proportional to 650.43, 976.04 and 342.50

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Solution

The fourth proportional to 650.43, 976.04 and 342.50 is: 513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.43 : 976.04 = 342.50 : x
  2. Step 2: Convert to fraction form
    650.43/976.04 = 342.50/x
  3. Step 3: Cross multiply
    650.43x = 976.04 × 342.50
  4. Step 4: Simplify right side
    650.43x = 334,297.59
  5. Step 5: Solve for x
    x = 334,297.59/650.43
  6. Step 6: Final answer
    x = 513.96

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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.