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Finding the Fourth Proportional to 650.44, 976.38 and 457.48

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Solution

The fourth proportional to 650.44, 976.38 and 457.48 is: 686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.44 : 976.38 = 457.48 : x
  2. Step 2: Convert to fraction form
    650.44/976.38 = 457.48/x
  3. Step 3: Cross multiply
    650.44x = 976.38 × 457.48
  4. Step 4: Simplify right side
    650.44x = 446,674.32
  5. Step 5: Solve for x
    x = 446,674.32/650.44
  6. Step 6: Final answer
    x = 686.73

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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.