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Finding the Fourth Proportional to 628.77, 866.52 and 600.42

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Solution

The fourth proportional to 628.77, 866.52 and 600.42 is: 827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.77 : 866.52 = 600.42 : x
  2. Step 2: Convert to fraction form
    628.77/866.52 = 600.42/x
  3. Step 3: Cross multiply
    628.77x = 866.52 × 600.42
  4. Step 4: Simplify right side
    628.77x = 520,275.94
  5. Step 5: Solve for x
    x = 520,275.94/628.77
  6. Step 6: Final answer
    x = 827.45

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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.