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Finding the Fourth Proportional to 339.17, 507.95 and 208.82

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Solution

The fourth proportional to 339.17, 507.95 and 208.82 is: 312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.17 : 507.95 = 208.82 : x
  2. Step 2: Convert to fraction form
    339.17/507.95 = 208.82/x
  3. Step 3: Cross multiply
    339.17x = 507.95 × 208.82
  4. Step 4: Simplify right side
    339.17x = 106,066.54
  5. Step 5: Solve for x
    x = 106,066.54/339.17
  6. Step 6: Final answer
    x = 312.73

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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.