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Finding the Fourth Proportional to 491.97, 678.94 and 315.08

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Solution

The fourth proportional to 491.97, 678.94 and 315.08 is: 434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.97 : 678.94 = 315.08 : x
  2. Step 2: Convert to fraction form
    491.97/678.94 = 315.08/x
  3. Step 3: Cross multiply
    491.97x = 678.94 × 315.08
  4. Step 4: Simplify right side
    491.97x = 213,922.51
  5. Step 5: Solve for x
    x = 213,922.51/491.97
  6. Step 6: Final answer
    x = 434.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.