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Finding the Fourth Proportional to 628.16, 866.97 and 366.19

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Solution

The fourth proportional to 628.16, 866.97 and 366.19 is: 505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.16 : 866.97 = 366.19 : x
  2. Step 2: Convert to fraction form
    628.16/866.97 = 366.19/x
  3. Step 3: Cross multiply
    628.16x = 866.97 × 366.19
  4. Step 4: Simplify right side
    628.16x = 317,473.58
  5. Step 5: Solve for x
    x = 317,473.58/628.16
  6. Step 6: Final answer
    x = 505.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.