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Finding the Fourth Proportional to 650.62, 976.61 and 362.26

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Solution

The fourth proportional to 650.62, 976.61 and 362.26 is: 543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.62 : 976.61 = 362.26 : x
  2. Step 2: Convert to fraction form
    650.62/976.61 = 362.26/x
  3. Step 3: Cross multiply
    650.62x = 976.61 × 362.26
  4. Step 4: Simplify right side
    650.62x = 353,786.74
  5. Step 5: Solve for x
    x = 353,786.74/650.62
  6. Step 6: Final answer
    x = 543.77

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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.