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Finding the Fourth Proportional to 493.40, 740.12 and 185.24

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Solution

The fourth proportional to 493.40, 740.12 and 185.24 is: 277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.40 : 740.12 = 185.24 : x
  2. Step 2: Convert to fraction form
    493.40/740.12 = 185.24/x
  3. Step 3: Cross multiply
    493.40x = 740.12 × 185.24
  4. Step 4: Simplify right side
    493.40x = 137,099.83
  5. Step 5: Solve for x
    x = 137,099.83/493.40
  6. Step 6: Final answer
    x = 277.87

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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.