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Finding the Fourth Proportional to 491.56, 736.86 and 298.84

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Solution

The fourth proportional to 491.56, 736.86 and 298.84 is: 447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.56 : 736.86 = 298.84 : x
  2. Step 2: Convert to fraction form
    491.56/736.86 = 298.84/x
  3. Step 3: Cross multiply
    491.56x = 736.86 × 298.84
  4. Step 4: Simplify right side
    491.56x = 220,203.24
  5. Step 5: Solve for x
    x = 220,203.24/491.56
  6. Step 6: Final answer
    x = 447.97

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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.