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Finding the Fourth Proportional to 650.24, 976.04 and 376.87

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Solution

The fourth proportional to 650.24, 976.04 and 376.87 is: 565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.24 : 976.04 = 376.87 : x
  2. Step 2: Convert to fraction form
    650.24/976.04 = 376.87/x
  3. Step 3: Cross multiply
    650.24x = 976.04 × 376.87
  4. Step 4: Simplify right side
    650.24x = 367,837.28
  5. Step 5: Solve for x
    x = 367,837.28/650.24
  6. Step 6: Final answer
    x = 565.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.