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Finding the Fourth Proportional to 650.53, 976.31 and 285.57

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Solution

The fourth proportional to 650.53, 976.31 and 285.57 is: 428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.53 : 976.31 = 285.57 : x
  2. Step 2: Convert to fraction form
    650.53/976.31 = 285.57/x
  3. Step 3: Cross multiply
    650.53x = 976.31 × 285.57
  4. Step 4: Simplify right side
    650.53x = 278,804.49
  5. Step 5: Solve for x
    x = 278,804.49/650.53
  6. Step 6: Final answer
    x = 428.58

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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.