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Finding the Fourth Proportional to 650.16, 975.38 and 285.12

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Solution

The fourth proportional to 650.16, 975.38 and 285.12 is: 427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.16 : 975.38 = 285.12 : x
  2. Step 2: Convert to fraction form
    650.16/975.38 = 285.12/x
  3. Step 3: Cross multiply
    650.16x = 975.38 × 285.12
  4. Step 4: Simplify right side
    650.16x = 278,098.92
  5. Step 5: Solve for x
    x = 278,098.92/650.16
  6. Step 6: Final answer
    x = 427.74

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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.