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Finding the Fourth Proportional to 511.52, 705.92 and 314.88

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Solution

The fourth proportional to 511.52, 705.92 and 314.88 is: 434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.52 : 705.92 = 314.88 : x
  2. Step 2: Convert to fraction form
    511.52/705.92 = 314.88/x
  3. Step 3: Cross multiply
    511.52x = 705.92 × 314.88
  4. Step 4: Simplify right side
    511.52x = 222,280.09
  5. Step 5: Solve for x
    x = 222,280.09/511.52
  6. Step 6: Final answer
    x = 434.55

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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.