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Finding the Fourth Proportional to 493.40, 740.24 and 185.27

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Solution

The fourth proportional to 493.40, 740.24 and 185.27 is: 277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.40 : 740.24 = 185.27 : x
  2. Step 2: Convert to fraction form
    493.40/740.24 = 185.27/x
  3. Step 3: Cross multiply
    493.40x = 740.24 × 185.27
  4. Step 4: Simplify right side
    493.40x = 137,139.64
  5. Step 5: Solve for x
    x = 137,139.64/493.40
  6. Step 6: Final answer
    x = 277.95

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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.