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Finding the Fourth Proportional to 650.02, 974.32 and 284.38

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Solution

The fourth proportional to 650.02, 974.32 and 284.38 is: 426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.02 : 974.32 = 284.38 : x
  2. Step 2: Convert to fraction form
    650.02/974.32 = 284.38/x
  3. Step 3: Cross multiply
    650.02x = 974.32 × 284.38
  4. Step 4: Simplify right side
    650.02x = 277,077.12
  5. Step 5: Solve for x
    x = 277,077.12/650.02
  6. Step 6: Final answer
    x = 426.26

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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.