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Finding the Fourth Proportional to 511.27, 705.31 and 314.71

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Solution

The fourth proportional to 511.27, 705.31 and 314.71 is: 434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.27 : 705.31 = 314.71 : x
  2. Step 2: Convert to fraction form
    511.27/705.31 = 314.71/x
  3. Step 3: Cross multiply
    511.27x = 705.31 × 314.71
  4. Step 4: Simplify right side
    511.27x = 221,968.11
  5. Step 5: Solve for x
    x = 221,968.11/511.27
  6. Step 6: Final answer
    x = 434.15

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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.