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Finding the Fourth Proportional to 491.40, 678.03 and 294.84

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Solution

The fourth proportional to 491.40, 678.03 and 294.84 is: 406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.40 : 678.03 = 294.84 : x
  2. Step 2: Convert to fraction form
    491.40/678.03 = 294.84/x
  3. Step 3: Cross multiply
    491.40x = 678.03 × 294.84
  4. Step 4: Simplify right side
    491.40x = 199,910.37
  5. Step 5: Solve for x
    x = 199,910.37/491.40
  6. Step 6: Final answer
    x = 406.82

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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.