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Finding the Fourth Proportional to 628.09, 866.24 and 586.17

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Solution

The fourth proportional to 628.09, 866.24 and 586.17 is: 808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.09 : 866.24 = 586.17 : x
  2. Step 2: Convert to fraction form
    628.09/866.24 = 586.17/x
  3. Step 3: Cross multiply
    628.09x = 866.24 × 586.17
  4. Step 4: Simplify right side
    628.09x = 507,766.47
  5. Step 5: Solve for x
    x = 507,766.47/628.09
  6. Step 6: Final answer
    x = 808.43

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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.