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Finding the Fourth Proportional to 511.31, 705.78 and 400.82

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Solution

The fourth proportional to 511.31, 705.78 and 400.82 is: 553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.31 : 705.78 = 400.82 : x
  2. Step 2: Convert to fraction form
    511.31/705.78 = 400.82/x
  3. Step 3: Cross multiply
    511.31x = 705.78 × 400.82
  4. Step 4: Simplify right side
    511.31x = 282,887.21
  5. Step 5: Solve for x
    x = 282,887.21/511.31
  6. Step 6: Final answer
    x = 553.26

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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.