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Finding the Fourth Proportional to 512.89, 706.96 and 346.82

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Solution

The fourth proportional to 512.89, 706.96 and 346.82 is: 478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.89 : 706.96 = 346.82 : x
  2. Step 2: Convert to fraction form
    512.89/706.96 = 346.82/x
  3. Step 3: Cross multiply
    512.89x = 706.96 × 346.82
  4. Step 4: Simplify right side
    512.89x = 245,184.33
  5. Step 5: Solve for x
    x = 245,184.33/512.89
  6. Step 6: Final answer
    x = 478.04

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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.