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Finding the Fourth Proportional to 338.95, 467.76 and 208

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Solution

The fourth proportional to 338.95, 467.76 and 208 is: 287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.95 : 467.76 = 208 : x
  2. Step 2: Convert to fraction form
    338.95/467.76 = 208/x
  3. Step 3: Cross multiply
    338.95x = 467.76 × 208
  4. Step 4: Simplify right side
    338.95x = 97,294.08
  5. Step 5: Solve for x
    x = 97,294.08/338.95
  6. Step 6: Final answer
    x = 287.05

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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.