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Finding the Fourth Proportional to 309.64, 464.44 and 78.52

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Solution

The fourth proportional to 309.64, 464.44 and 78.52 is: 117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.64 : 464.44 = 78.52 : x
  2. Step 2: Convert to fraction form
    309.64/464.44 = 78.52/x
  3. Step 3: Cross multiply
    309.64x = 464.44 × 78.52
  4. Step 4: Simplify right side
    309.64x = 36,467.44
  5. Step 5: Solve for x
    x = 36,467.44/309.64
  6. Step 6: Final answer
    x = 117.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.