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Finding the Fourth Proportional to 511.56, 705.94 and 290.54

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Solution

The fourth proportional to 511.56, 705.94 and 290.54 is: 400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.56 : 705.94 = 290.54 : x
  2. Step 2: Convert to fraction form
    511.56/705.94 = 290.54/x
  3. Step 3: Cross multiply
    511.56x = 705.94 × 290.54
  4. Step 4: Simplify right side
    511.56x = 205,103.81
  5. Step 5: Solve for x
    x = 205,103.81/511.56
  6. Step 6: Final answer
    x = 400.94

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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.