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Finding the Fourth Proportional to 650.31, 975.62 and 285.13

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Solution

The fourth proportional to 650.31, 975.62 and 285.13 is: 427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.31 : 975.62 = 285.13 : x
  2. Step 2: Convert to fraction form
    650.31/975.62 = 285.13/x
  3. Step 3: Cross multiply
    650.31x = 975.62 × 285.13
  4. Step 4: Simplify right side
    650.31x = 278,178.53
  5. Step 5: Solve for x
    x = 278,178.53/650.31
  6. Step 6: Final answer
    x = 427.76

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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.