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Finding the Fourth Proportional to 715.25, 986.83 and 400.48

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Solution

The fourth proportional to 715.25, 986.83 and 400.48 is: 552.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.25 : 986.83 = 400.48 : x
  2. Step 2: Convert to fraction form
    715.25/986.83 = 400.48/x
  3. Step 3: Cross multiply
    715.25x = 986.83 × 400.48
  4. Step 4: Simplify right side
    715.25x = 395,205.68
  5. Step 5: Solve for x
    x = 395,205.68/715.25
  6. Step 6: Final answer
    x = 552.54

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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.