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Finding the Fourth Proportional to 650.32, 975.49 and 285.03

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Solution

The fourth proportional to 650.32, 975.49 and 285.03 is: 427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.32 : 975.49 = 285.03 : x
  2. Step 2: Convert to fraction form
    650.32/975.49 = 285.03/x
  3. Step 3: Cross multiply
    650.32x = 975.49 × 285.03
  4. Step 4: Simplify right side
    650.32x = 278,043.20
  5. Step 5: Solve for x
    x = 278,043.20/650.32
  6. Step 6: Final answer
    x = 427.55

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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.