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Finding the Fourth Proportional to 491.32, 678.03 and 294.83

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Solution

The fourth proportional to 491.32, 678.03 and 294.83 is: 406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.32 : 678.03 = 294.83 : x
  2. Step 2: Convert to fraction form
    491.32/678.03 = 294.83/x
  3. Step 3: Cross multiply
    491.32x = 678.03 × 294.83
  4. Step 4: Simplify right side
    491.32x = 199,903.58
  5. Step 5: Solve for x
    x = 199,903.58/491.32
  6. Step 6: Final answer
    x = 406.87

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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.