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Finding the Fourth Proportional to 493.80, 740.67 and 185.64

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Solution

The fourth proportional to 493.80, 740.67 and 185.64 is: 278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.80 : 740.67 = 185.64 : x
  2. Step 2: Convert to fraction form
    493.80/740.67 = 185.64/x
  3. Step 3: Cross multiply
    493.80x = 740.67 × 185.64
  4. Step 4: Simplify right side
    493.80x = 137,497.98
  5. Step 5: Solve for x
    x = 137,497.98/493.80
  6. Step 6: Final answer
    x = 278.45

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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.