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Finding the Fourth Proportional to 1,475.30, 2,212.97 and 364.73

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Solution

The fourth proportional to 1,475.30, 2,212.97 and 364.73 is: 547.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.30 : 2,212.97 = 364.73 : x
  2. Step 2: Convert to fraction form
    1,475.30/2,212.97 = 364.73/x
  3. Step 3: Cross multiply
    1,475.30x = 2,212.97 × 364.73
  4. Step 4: Simplify right side
    1,475.30x = 807,123.66
  5. Step 5: Solve for x
    x = 807,123.66/1,475.30
  6. Step 6: Final answer
    x = 547.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.