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Finding the Fourth Proportional to 511.24, 705.70 and 400.27

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Solution

The fourth proportional to 511.24, 705.70 and 400.27 is: 552.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.24 : 705.70 = 400.27 : x
  2. Step 2: Convert to fraction form
    511.24/705.70 = 400.27/x
  3. Step 3: Cross multiply
    511.24x = 705.70 × 400.27
  4. Step 4: Simplify right side
    511.24x = 282,470.54
  5. Step 5: Solve for x
    x = 282,470.54/511.24
  6. Step 6: Final answer
    x = 552.52

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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.