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Finding the Fourth Proportional to 512.22, 705.86 and 337.26

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Solution

The fourth proportional to 512.22, 705.86 and 337.26 is: 464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.22 : 705.86 = 337.26 : x
  2. Step 2: Convert to fraction form
    512.22/705.86 = 337.26/x
  3. Step 3: Cross multiply
    512.22x = 705.86 × 337.26
  4. Step 4: Simplify right side
    512.22x = 238,058.34
  5. Step 5: Solve for x
    x = 238,058.34/512.22
  6. Step 6: Final answer
    x = 464.76

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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.