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Finding the Fourth Proportional to 628.43, 942.65 and 263.48

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Solution

The fourth proportional to 628.43, 942.65 and 263.48 is: 395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.43 : 942.65 = 263.48 : x
  2. Step 2: Convert to fraction form
    628.43/942.65 = 263.48/x
  3. Step 3: Cross multiply
    628.43x = 942.65 × 263.48
  4. Step 4: Simplify right side
    628.43x = 248,366.29
  5. Step 5: Solve for x
    x = 248,366.29/628.43
  6. Step 6: Final answer
    x = 395.21

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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.