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Finding the Fourth Proportional to 650.32, 975.73 and 285.16

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Solution

The fourth proportional to 650.32, 975.73 and 285.16 is: 427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.32 : 975.73 = 285.16 : x
  2. Step 2: Convert to fraction form
    650.32/975.73 = 285.16/x
  3. Step 3: Cross multiply
    650.32x = 975.73 × 285.16
  4. Step 4: Simplify right side
    650.32x = 278,239.17
  5. Step 5: Solve for x
    x = 278,239.17/650.32
  6. Step 6: Final answer
    x = 427.85

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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.