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Finding the Fourth Proportional to 651.11, 976.46 and 304.11

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Solution

The fourth proportional to 651.11, 976.46 and 304.11 is: 456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.11 : 976.46 = 304.11 : x
  2. Step 2: Convert to fraction form
    651.11/976.46 = 304.11/x
  3. Step 3: Cross multiply
    651.11x = 976.46 × 304.11
  4. Step 4: Simplify right side
    651.11x = 296,949.73
  5. Step 5: Solve for x
    x = 296,949.73/651.11
  6. Step 6: Final answer
    x = 456.07

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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.