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Finding the Fourth Proportional to 304.66, 456.99 and 296.56

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Solution

The fourth proportional to 304.66, 456.99 and 296.56 is: 444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.66 : 456.99 = 296.56 : x
  2. Step 2: Convert to fraction form
    304.66/456.99 = 296.56/x
  3. Step 3: Cross multiply
    304.66x = 456.99 × 296.56
  4. Step 4: Simplify right side
    304.66x = 135,524.95
  5. Step 5: Solve for x
    x = 135,524.95/304.66
  6. Step 6: Final answer
    x = 444.84

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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.