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Finding the Fourth Proportional to 493.08, 739.62 and 185.01

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Solution

The fourth proportional to 493.08, 739.62 and 185.01 is: 277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.08 : 739.62 = 185.01 : x
  2. Step 2: Convert to fraction form
    493.08/739.62 = 185.01/x
  3. Step 3: Cross multiply
    493.08x = 739.62 × 185.01
  4. Step 4: Simplify right side
    493.08x = 136,837.10
  5. Step 5: Solve for x
    x = 136,837.10/493.08
  6. Step 6: Final answer
    x = 277.52

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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.