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Finding the Fourth Proportional to 556.27, 834.90 and 264.13

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Solution

The fourth proportional to 556.27, 834.90 and 264.13 is: 396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.27 : 834.90 = 264.13 : x
  2. Step 2: Convert to fraction form
    556.27/834.90 = 264.13/x
  3. Step 3: Cross multiply
    556.27x = 834.90 × 264.13
  4. Step 4: Simplify right side
    556.27x = 220,522.14
  5. Step 5: Solve for x
    x = 220,522.14/556.27
  6. Step 6: Final answer
    x = 396.43

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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.