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Finding the Fourth Proportional to 626.24, 864.64 and 393.44

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Solution

The fourth proportional to 626.24, 864.64 and 393.44 is: 543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.24 : 864.64 = 393.44 : x
  2. Step 2: Convert to fraction form
    626.24/864.64 = 393.44/x
  3. Step 3: Cross multiply
    626.24x = 864.64 × 393.44
  4. Step 4: Simplify right side
    626.24x = 340,183.96
  5. Step 5: Solve for x
    x = 340,183.96/626.24
  6. Step 6: Final answer
    x = 543.22

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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.