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Finding the Fourth Proportional to 511.72, 705.69 and 344.05

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Solution

The fourth proportional to 511.72, 705.69 and 344.05 is: 474.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.72 : 705.69 = 344.05 : x
  2. Step 2: Convert to fraction form
    511.72/705.69 = 344.05/x
  3. Step 3: Cross multiply
    511.72x = 705.69 × 344.05
  4. Step 4: Simplify right side
    511.72x = 242,789.91
  5. Step 5: Solve for x
    x = 242,789.91/511.72
  6. Step 6: Final answer
    x = 474.46

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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.