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Finding the Fourth Proportional to 491.13, 677.57 and 304.83

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Solution

The fourth proportional to 491.13, 677.57 and 304.83 is: 420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.13 : 677.57 = 304.83 : x
  2. Step 2: Convert to fraction form
    491.13/677.57 = 304.83/x
  3. Step 3: Cross multiply
    491.13x = 677.57 × 304.83
  4. Step 4: Simplify right side
    491.13x = 206,542.14
  5. Step 5: Solve for x
    x = 206,542.14/491.13
  6. Step 6: Final answer
    x = 420.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.