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Finding the Fourth Proportional to 705.89, 974.13 and 395.39

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Solution

The fourth proportional to 705.89, 974.13 and 395.39 is: 545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.89 : 974.13 = 395.39 : x
  2. Step 2: Convert to fraction form
    705.89/974.13 = 395.39/x
  3. Step 3: Cross multiply
    705.89x = 974.13 × 395.39
  4. Step 4: Simplify right side
    705.89x = 385,162.48
  5. Step 5: Solve for x
    x = 385,162.48/705.89
  6. Step 6: Final answer
    x = 545.64

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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.