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Finding the Fourth Proportional to 628.56, 867.17 and 366.53

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Solution

The fourth proportional to 628.56, 867.17 and 366.53 is: 505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.56 : 867.17 = 366.53 : x
  2. Step 2: Convert to fraction form
    628.56/867.17 = 366.53/x
  3. Step 3: Cross multiply
    628.56x = 867.17 × 366.53
  4. Step 4: Simplify right side
    628.56x = 317,840.40
  5. Step 5: Solve for x
    x = 317,840.40/628.56
  6. Step 6: Final answer
    x = 505.66

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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.