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Finding the Fourth Proportional to 555.53, 767.27 and 523.13

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Solution

The fourth proportional to 555.53, 767.27 and 523.13 is: 722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.53 : 767.27 = 523.13 : x
  2. Step 2: Convert to fraction form
    555.53/767.27 = 523.13/x
  3. Step 3: Cross multiply
    555.53x = 767.27 × 523.13
  4. Step 4: Simplify right side
    555.53x = 401,379.43
  5. Step 5: Solve for x
    x = 401,379.43/555.53
  6. Step 6: Final answer
    x = 722.52

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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.