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Finding the Fourth Proportional to 678.29, 1,016.06 and 352.97

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Solution

The fourth proportional to 678.29, 1,016.06 and 352.97 is: 528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.29 : 1,016.06 = 352.97 : x
  2. Step 2: Convert to fraction form
    678.29/1,016.06 = 352.97/x
  3. Step 3: Cross multiply
    678.29x = 1,016.06 × 352.97
  4. Step 4: Simplify right side
    678.29x = 358,637.65
  5. Step 5: Solve for x
    x = 358,637.65/678.29
  6. Step 6: Final answer
    x = 528.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.