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Finding the Fourth Proportional to 523.28, 722.23 and 506.21

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Solution

The fourth proportional to 523.28, 722.23 and 506.21 is: 698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.28 : 722.23 = 506.21 : x
  2. Step 2: Convert to fraction form
    523.28/722.23 = 506.21/x
  3. Step 3: Cross multiply
    523.28x = 722.23 × 506.21
  4. Step 4: Simplify right side
    523.28x = 365,595.17
  5. Step 5: Solve for x
    x = 365,595.17/523.28
  6. Step 6: Final answer
    x = 698.66

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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.