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Finding the Fourth Proportional to 628.92, 866.30 and 523.80

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Solution

The fourth proportional to 628.92, 866.30 and 523.80 is: 721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.92 : 866.30 = 523.80 : x
  2. Step 2: Convert to fraction form
    628.92/866.30 = 523.80/x
  3. Step 3: Cross multiply
    628.92x = 866.30 × 523.80
  4. Step 4: Simplify right side
    628.92x = 453,767.94
  5. Step 5: Solve for x
    x = 453,767.94/628.92
  6. Step 6: Final answer
    x = 721.50

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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.