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Finding the Fourth Proportional to 650.92, 976.95 and 304.44

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Solution

The fourth proportional to 650.92, 976.95 and 304.44 is: 456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.92 : 976.95 = 304.44 : x
  2. Step 2: Convert to fraction form
    650.92/976.95 = 304.44/x
  3. Step 3: Cross multiply
    650.92x = 976.95 × 304.44
  4. Step 4: Simplify right side
    650.92x = 297,423.80
  5. Step 5: Solve for x
    x = 297,423.80/650.92
  6. Step 6: Final answer
    x = 456.93

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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.