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Finding the Fourth Proportional to 556.98, 834.27 and 541.62

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Solution

The fourth proportional to 556.98, 834.27 and 541.62 is: 811.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.98 : 834.27 = 541.62 : x
  2. Step 2: Convert to fraction form
    556.98/834.27 = 541.62/x
  3. Step 3: Cross multiply
    556.98x = 834.27 × 541.62
  4. Step 4: Simplify right side
    556.98x = 451,857.32
  5. Step 5: Solve for x
    x = 451,857.32/556.98
  6. Step 6: Final answer
    x = 811.26

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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.