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Finding the Fourth Proportional to 626.24, 864.18 and 342.64

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Solution

The fourth proportional to 626.24, 864.18 and 342.64 is: 472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.24 : 864.18 = 342.64 : x
  2. Step 2: Convert to fraction form
    626.24/864.18 = 342.64/x
  3. Step 3: Cross multiply
    626.24x = 864.18 × 342.64
  4. Step 4: Simplify right side
    626.24x = 296,102.64
  5. Step 5: Solve for x
    x = 296,102.64/626.24
  6. Step 6: Final answer
    x = 472.83

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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.