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Finding the Fourth Proportional to 712.21, 1,067.34 and 364.81

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Solution

The fourth proportional to 712.21, 1,067.34 and 364.81 is: 546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.21 : 1,067.34 = 364.81 : x
  2. Step 2: Convert to fraction form
    712.21/1,067.34 = 364.81/x
  3. Step 3: Cross multiply
    712.21x = 1,067.34 × 364.81
  4. Step 4: Simplify right side
    712.21x = 389,376.31
  5. Step 5: Solve for x
    x = 389,376.31/712.21
  6. Step 6: Final answer
    x = 546.72

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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.