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Finding the Fourth Proportional to 338.71, 467.43 and 207.64

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Solution

The fourth proportional to 338.71, 467.43 and 207.64 is: 286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.71 : 467.43 = 207.64 : x
  2. Step 2: Convert to fraction form
    338.71/467.43 = 207.64/x
  3. Step 3: Cross multiply
    338.71x = 467.43 × 207.64
  4. Step 4: Simplify right side
    338.71x = 97,056.13
  5. Step 5: Solve for x
    x = 97,056.13/338.71
  6. Step 6: Final answer
    x = 286.55

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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.