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Finding the Fourth Proportional to 491.24, 677.89 and 270.18

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Solution

The fourth proportional to 491.24, 677.89 and 270.18 is: 372.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.24 : 677.89 = 270.18 : x
  2. Step 2: Convert to fraction form
    491.24/677.89 = 270.18/x
  3. Step 3: Cross multiply
    491.24x = 677.89 × 270.18
  4. Step 4: Simplify right side
    491.24x = 183,150.12
  5. Step 5: Solve for x
    x = 183,150.12/491.24
  6. Step 6: Final answer
    x = 372.83

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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.