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Finding the Fourth Proportional to 493.86, 740.94 and 205.32

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Solution

The fourth proportional to 493.86, 740.94 and 205.32 is: 308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.86 : 740.94 = 205.32 : x
  2. Step 2: Convert to fraction form
    493.86/740.94 = 205.32/x
  3. Step 3: Cross multiply
    493.86x = 740.94 × 205.32
  4. Step 4: Simplify right side
    493.86x = 152,129.80
  5. Step 5: Solve for x
    x = 152,129.80/493.86
  6. Step 6: Final answer
    x = 308.04

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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.