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Finding the Fourth Proportional to 364.60, 547.14 and 208.48

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Solution

The fourth proportional to 364.60, 547.14 and 208.48 is: 312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.60 : 547.14 = 208.48 : x
  2. Step 2: Convert to fraction form
    364.60/547.14 = 208.48/x
  3. Step 3: Cross multiply
    364.60x = 547.14 × 208.48
  4. Step 4: Simplify right side
    364.60x = 114,067.75
  5. Step 5: Solve for x
    x = 114,067.75/364.60
  6. Step 6: Final answer
    x = 312.86

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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.