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Finding the Fourth Proportional to 491.41, 678.14 and 294.92

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Solution

The fourth proportional to 491.41, 678.14 and 294.92 is: 406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.41 : 678.14 = 294.92 : x
  2. Step 2: Convert to fraction form
    491.41/678.14 = 294.92/x
  3. Step 3: Cross multiply
    491.41x = 678.14 × 294.92
  4. Step 4: Simplify right side
    491.41x = 199,998.21
  5. Step 5: Solve for x
    x = 199,998.21/491.41
  6. Step 6: Final answer
    x = 406.99

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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.