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Finding the Fourth Proportional to 628.19, 866.91 and 366.20

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Solution

The fourth proportional to 628.19, 866.91 and 366.20 is: 505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.19 : 866.91 = 366.20 : x
  2. Step 2: Convert to fraction form
    628.19/866.91 = 366.20/x
  3. Step 3: Cross multiply
    628.19x = 866.91 × 366.20
  4. Step 4: Simplify right side
    628.19x = 317,462.44
  5. Step 5: Solve for x
    x = 317,462.44/628.19
  6. Step 6: Final answer
    x = 505.36

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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.