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Finding the Fourth Proportional to 493.95, 740.93 and 169.54

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Solution

The fourth proportional to 493.95, 740.93 and 169.54 is: 254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.95 : 740.93 = 169.54 : x
  2. Step 2: Convert to fraction form
    493.95/740.93 = 169.54/x
  3. Step 3: Cross multiply
    493.95x = 740.93 × 169.54
  4. Step 4: Simplify right side
    493.95x = 125,619.69
  5. Step 5: Solve for x
    x = 125,619.69/493.95
  6. Step 6: Final answer
    x = 254.32

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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.