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Finding the Fourth Proportional to 538.25, 807.84 and 343.17

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Solution

The fourth proportional to 538.25, 807.84 and 343.17 is: 515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.25 : 807.84 = 343.17 : x
  2. Step 2: Convert to fraction form
    538.25/807.84 = 343.17/x
  3. Step 3: Cross multiply
    538.25x = 807.84 × 343.17
  4. Step 4: Simplify right side
    538.25x = 277,226.45
  5. Step 5: Solve for x
    x = 277,226.45/538.25
  6. Step 6: Final answer
    x = 515.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.