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Finding the Fourth Proportional to 512.59, 706.89 and 344.92

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Solution

The fourth proportional to 512.59, 706.89 and 344.92 is: 475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.59 : 706.89 = 344.92 : x
  2. Step 2: Convert to fraction form
    512.59/706.89 = 344.92/x
  3. Step 3: Cross multiply
    512.59x = 706.89 × 344.92
  4. Step 4: Simplify right side
    512.59x = 243,820.50
  5. Step 5: Solve for x
    x = 243,820.50/512.59
  6. Step 6: Final answer
    x = 475.66

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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.