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Finding the Fourth Proportional to 511.23, 705.42 and 314.71

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Solution

The fourth proportional to 511.23, 705.42 and 314.71 is: 434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.23 : 705.42 = 314.71 : x
  2. Step 2: Convert to fraction form
    511.23/705.42 = 314.71/x
  3. Step 3: Cross multiply
    511.23x = 705.42 × 314.71
  4. Step 4: Simplify right side
    511.23x = 222,002.73
  5. Step 5: Solve for x
    x = 222,002.73/511.23
  6. Step 6: Final answer
    x = 434.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.