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Finding the Fourth Proportional to 309.79, 464.75 and 104.38

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Solution

The fourth proportional to 309.79, 464.75 and 104.38 is: 156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.79 : 464.75 = 104.38 : x
  2. Step 2: Convert to fraction form
    309.79/464.75 = 104.38/x
  3. Step 3: Cross multiply
    309.79x = 464.75 × 104.38
  4. Step 4: Simplify right side
    309.79x = 48,510.61
  5. Step 5: Solve for x
    x = 48,510.61/309.79
  6. Step 6: Final answer
    x = 156.59

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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.