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Finding the Fourth Proportional to 511.41, 705.33 and 314.85

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Solution

The fourth proportional to 511.41, 705.33 and 314.85 is: 434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.41 : 705.33 = 314.85 : x
  2. Step 2: Convert to fraction form
    511.41/705.33 = 314.85/x
  3. Step 3: Cross multiply
    511.41x = 705.33 × 314.85
  4. Step 4: Simplify right side
    511.41x = 222,073.15
  5. Step 5: Solve for x
    x = 222,073.15/511.41
  6. Step 6: Final answer
    x = 434.24

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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.