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Finding the Fourth Proportional to 650.89, 975.76 and 285.40

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Solution

The fourth proportional to 650.89, 975.76 and 285.40 is: 427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.89 : 975.76 = 285.40 : x
  2. Step 2: Convert to fraction form
    650.89/975.76 = 285.40/x
  3. Step 3: Cross multiply
    650.89x = 975.76 × 285.40
  4. Step 4: Simplify right side
    650.89x = 278,481.90
  5. Step 5: Solve for x
    x = 278,481.90/650.89
  6. Step 6: Final answer
    x = 427.85

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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.