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Finding the Fourth Proportional to 336.64, 464.06 and 262.82

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Solution

The fourth proportional to 336.64, 464.06 and 262.82 is: 362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.64 : 464.06 = 262.82 : x
  2. Step 2: Convert to fraction form
    336.64/464.06 = 262.82/x
  3. Step 3: Cross multiply
    336.64x = 464.06 × 262.82
  4. Step 4: Simplify right side
    336.64x = 121,964.25
  5. Step 5: Solve for x
    x = 121,964.25/336.64
  6. Step 6: Final answer
    x = 362.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.