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Finding the Fourth Proportional to 650.96, 976.58 and 280.77

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Solution

The fourth proportional to 650.96, 976.58 and 280.77 is: 421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.96 : 976.58 = 280.77 : x
  2. Step 2: Convert to fraction form
    650.96/976.58 = 280.77/x
  3. Step 3: Cross multiply
    650.96x = 976.58 × 280.77
  4. Step 4: Simplify right side
    650.96x = 274,192.96
  5. Step 5: Solve for x
    x = 274,192.96/650.96
  6. Step 6: Final answer
    x = 421.22

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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.