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Finding the Fourth Proportional to 352.90, 529.38 and 208.42

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Solution

The fourth proportional to 352.90, 529.38 and 208.42 is: 312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.90 : 529.38 = 208.42 : x
  2. Step 2: Convert to fraction form
    352.90/529.38 = 208.42/x
  3. Step 3: Cross multiply
    352.90x = 529.38 × 208.42
  4. Step 4: Simplify right side
    352.90x = 110,333.38
  5. Step 5: Solve for x
    x = 110,333.38/352.90
  6. Step 6: Final answer
    x = 312.65

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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.