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Finding the Fourth Proportional to 491.19, 677.83 and 270.14

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Solution

The fourth proportional to 491.19, 677.83 and 270.14 is: 372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.19 : 677.83 = 270.14 : x
  2. Step 2: Convert to fraction form
    491.19/677.83 = 270.14/x
  3. Step 3: Cross multiply
    491.19x = 677.83 × 270.14
  4. Step 4: Simplify right side
    491.19x = 183,107.65
  5. Step 5: Solve for x
    x = 183,107.65/491.19
  6. Step 6: Final answer
    x = 372.78

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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.