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Finding the Fourth Proportional to 491.94, 678.78 and 326.06

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Solution

The fourth proportional to 491.94, 678.78 and 326.06 is: 449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.94 : 678.78 = 326.06 : x
  2. Step 2: Convert to fraction form
    491.94/678.78 = 326.06/x
  3. Step 3: Cross multiply
    491.94x = 678.78 × 326.06
  4. Step 4: Simplify right side
    491.94x = 221,323.01
  5. Step 5: Solve for x
    x = 221,323.01/491.94
  6. Step 6: Final answer
    x = 449.90

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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.