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Finding the Fourth Proportional to 309.63, 464.48 and 98.55

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Solution

The fourth proportional to 309.63, 464.48 and 98.55 is: 147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.63 : 464.48 = 98.55 : x
  2. Step 2: Convert to fraction form
    309.63/464.48 = 98.55/x
  3. Step 3: Cross multiply
    309.63x = 464.48 × 98.55
  4. Step 4: Simplify right side
    309.63x = 45,772.18
  5. Step 5: Solve for x
    x = 45,772.18/309.63
  6. Step 6: Final answer
    x = 147.83

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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.