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Finding the Fourth Proportional to 628.68, 943.24 and 282.28

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Solution

The fourth proportional to 628.68, 943.24 and 282.28 is: 423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.68 : 943.24 = 282.28 : x
  2. Step 2: Convert to fraction form
    628.68/943.24 = 282.28/x
  3. Step 3: Cross multiply
    628.68x = 943.24 × 282.28
  4. Step 4: Simplify right side
    628.68x = 266,257.79
  5. Step 5: Solve for x
    x = 266,257.79/628.68
  6. Step 6: Final answer
    x = 423.52

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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.