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Finding the Fourth Proportional to 309.82, 464.70 and 104.39

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Solution

The fourth proportional to 309.82, 464.70 and 104.39 is: 156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.82 : 464.70 = 104.39 : x
  2. Step 2: Convert to fraction form
    309.82/464.70 = 104.39/x
  3. Step 3: Cross multiply
    309.82x = 464.70 × 104.39
  4. Step 4: Simplify right side
    309.82x = 48,510.03
  5. Step 5: Solve for x
    x = 48,510.03/309.82
  6. Step 6: Final answer
    x = 156.57

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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.