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Finding the Fourth Proportional to 304.89, 456.59 and 194.82

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Solution

The fourth proportional to 304.89, 456.59 and 194.82 is: 291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.89 : 456.59 = 194.82 : x
  2. Step 2: Convert to fraction form
    304.89/456.59 = 194.82/x
  3. Step 3: Cross multiply
    304.89x = 456.59 × 194.82
  4. Step 4: Simplify right side
    304.89x = 88,952.86
  5. Step 5: Solve for x
    x = 88,952.86/304.89
  6. Step 6: Final answer
    x = 291.75

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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.