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Finding the Fourth Proportional to 629.08, 868.22 and 524.02

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Solution

The fourth proportional to 629.08, 868.22 and 524.02 is: 723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.08 : 868.22 = 524.02 : x
  2. Step 2: Convert to fraction form
    629.08/868.22 = 524.02/x
  3. Step 3: Cross multiply
    629.08x = 868.22 × 524.02
  4. Step 4: Simplify right side
    629.08x = 454,964.64
  5. Step 5: Solve for x
    x = 454,964.64/629.08
  6. Step 6: Final answer
    x = 723.22

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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.