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Finding the Fourth Proportional to 650.66, 976.06 and 285.40

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Solution

The fourth proportional to 650.66, 976.06 and 285.40 is: 428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.66 : 976.06 = 285.40 : x
  2. Step 2: Convert to fraction form
    650.66/976.06 = 285.40/x
  3. Step 3: Cross multiply
    650.66x = 976.06 × 285.40
  4. Step 4: Simplify right side
    650.66x = 278,567.52
  5. Step 5: Solve for x
    x = 278,567.52/650.66
  6. Step 6: Final answer
    x = 428.13

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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.