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Finding the Fourth Proportional to 523.17, 723.33 and 500.22

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Solution

The fourth proportional to 523.17, 723.33 and 500.22 is: 691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.17 : 723.33 = 500.22 : x
  2. Step 2: Convert to fraction form
    523.17/723.33 = 500.22/x
  3. Step 3: Cross multiply
    523.17x = 723.33 × 500.22
  4. Step 4: Simplify right side
    523.17x = 361,824.13
  5. Step 5: Solve for x
    x = 361,824.13/523.17
  6. Step 6: Final answer
    x = 691.60

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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.