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Finding the Fourth Proportional to 491.60, 678.09 and 314.62

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Solution

The fourth proportional to 491.60, 678.09 and 314.62 is: 433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.60 : 678.09 = 314.62 : x
  2. Step 2: Convert to fraction form
    491.60/678.09 = 314.62/x
  3. Step 3: Cross multiply
    491.60x = 678.09 × 314.62
  4. Step 4: Simplify right side
    491.60x = 213,338.98
  5. Step 5: Solve for x
    x = 213,338.98/491.60
  6. Step 6: Final answer
    x = 433.97

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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.