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Finding the Fourth Proportional to 511.33, 705.71 and 290.24

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Solution

The fourth proportional to 511.33, 705.71 and 290.24 is: 400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.33 : 705.71 = 290.24 : x
  2. Step 2: Convert to fraction form
    511.33/705.71 = 290.24/x
  3. Step 3: Cross multiply
    511.33x = 705.71 × 290.24
  4. Step 4: Simplify right side
    511.33x = 204,821.74
  5. Step 5: Solve for x
    x = 204,821.74/511.33
  6. Step 6: Final answer
    x = 400.57

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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.