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Finding the Fourth Proportional to 309.83, 464.74 and 201.39

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Solution

The fourth proportional to 309.83, 464.74 and 201.39 is: 302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.83 : 464.74 = 201.39 : x
  2. Step 2: Convert to fraction form
    309.83/464.74 = 201.39/x
  3. Step 3: Cross multiply
    309.83x = 464.74 × 201.39
  4. Step 4: Simplify right side
    309.83x = 93,591.74
  5. Step 5: Solve for x
    x = 93,591.74/309.83
  6. Step 6: Final answer
    x = 302.08

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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.