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Finding the Fourth Proportional to 628.62, 942.47 and 263.52

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Solution

The fourth proportional to 628.62, 942.47 and 263.52 is: 395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.62 : 942.47 = 263.52 : x
  2. Step 2: Convert to fraction form
    628.62/942.47 = 263.52/x
  3. Step 3: Cross multiply
    628.62x = 942.47 × 263.52
  4. Step 4: Simplify right side
    628.62x = 248,359.69
  5. Step 5: Solve for x
    x = 248,359.69/628.62
  6. Step 6: Final answer
    x = 395.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.