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Finding the Fourth Proportional to 628.22, 866.84 and 366.20

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Solution

The fourth proportional to 628.22, 866.84 and 366.20 is: 505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.22 : 866.84 = 366.20 : x
  2. Step 2: Convert to fraction form
    628.22/866.84 = 366.20/x
  3. Step 3: Cross multiply
    628.22x = 866.84 × 366.20
  4. Step 4: Simplify right side
    628.22x = 317,436.81
  5. Step 5: Solve for x
    x = 317,436.81/628.22
  6. Step 6: Final answer
    x = 505.30

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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.