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Finding the Fourth Proportional to 493.42, 740.49 and 185.57

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Solution

The fourth proportional to 493.42, 740.49 and 185.57 is: 278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.42 : 740.49 = 185.57 : x
  2. Step 2: Convert to fraction form
    493.42/740.49 = 185.57/x
  3. Step 3: Cross multiply
    493.42x = 740.49 × 185.57
  4. Step 4: Simplify right side
    493.42x = 137,412.73
  5. Step 5: Solve for x
    x = 137,412.73/493.42
  6. Step 6: Final answer
    x = 278.49

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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.