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Finding the Fourth Proportional to 511.06, 705.38 and 314.74

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Solution

The fourth proportional to 511.06, 705.38 and 314.74 is: 434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.06 : 705.38 = 314.74 : x
  2. Step 2: Convert to fraction form
    511.06/705.38 = 314.74/x
  3. Step 3: Cross multiply
    511.06x = 705.38 × 314.74
  4. Step 4: Simplify right side
    511.06x = 222,011.30
  5. Step 5: Solve for x
    x = 222,011.30/511.06
  6. Step 6: Final answer
    x = 434.41

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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.