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Finding the Fourth Proportional to 557.06, 767.22 and 523.04

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Solution

The fourth proportional to 557.06, 767.22 and 523.04 is: 720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.06 : 767.22 = 523.04 : x
  2. Step 2: Convert to fraction form
    557.06/767.22 = 523.04/x
  3. Step 3: Cross multiply
    557.06x = 767.22 × 523.04
  4. Step 4: Simplify right side
    557.06x = 401,286.75
  5. Step 5: Solve for x
    x = 401,286.75/557.06
  6. Step 6: Final answer
    x = 720.37

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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.