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Finding the Fourth Proportional to 705.91, 974.14 and 395.41

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Solution

The fourth proportional to 705.91, 974.14 and 395.41 is: 545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.91 : 974.14 = 395.41 : x
  2. Step 2: Convert to fraction form
    705.91/974.14 = 395.41/x
  3. Step 3: Cross multiply
    705.91x = 974.14 × 395.41
  4. Step 4: Simplify right side
    705.91x = 385,184.70
  5. Step 5: Solve for x
    x = 385,184.70/705.91
  6. Step 6: Final answer
    x = 545.66

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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.