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Finding the Fourth Proportional to 511.95, 706.13 and 343.82

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Solution

The fourth proportional to 511.95, 706.13 and 343.82 is: 474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.95 : 706.13 = 343.82 : x
  2. Step 2: Convert to fraction form
    511.95/706.13 = 343.82/x
  3. Step 3: Cross multiply
    511.95x = 706.13 × 343.82
  4. Step 4: Simplify right side
    511.95x = 242,781.62
  5. Step 5: Solve for x
    x = 242,781.62/511.95
  6. Step 6: Final answer
    x = 474.23

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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.