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Finding the Fourth Proportional to 309.76, 464.34 and 201.64

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Solution

The fourth proportional to 309.76, 464.34 and 201.64 is: 302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.76 : 464.34 = 201.64 : x
  2. Step 2: Convert to fraction form
    309.76/464.34 = 201.64/x
  3. Step 3: Cross multiply
    309.76x = 464.34 × 201.64
  4. Step 4: Simplify right side
    309.76x = 93,629.52
  5. Step 5: Solve for x
    x = 93,629.52/309.76
  6. Step 6: Final answer
    x = 302.26

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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.