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Finding the Fourth Proportional to 491.34, 678.07 and 294.85

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Solution

The fourth proportional to 491.34, 678.07 and 294.85 is: 406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.34 : 678.07 = 294.85 : x
  2. Step 2: Convert to fraction form
    491.34/678.07 = 294.85/x
  3. Step 3: Cross multiply
    491.34x = 678.07 × 294.85
  4. Step 4: Simplify right side
    491.34x = 199,928.94
  5. Step 5: Solve for x
    x = 199,928.94/491.34
  6. Step 6: Final answer
    x = 406.91

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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.