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Finding the Fourth Proportional to 628.92, 867.71 and 380.16

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Solution

The fourth proportional to 628.92, 867.71 and 380.16 is: 524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.92 : 867.71 = 380.16 : x
  2. Step 2: Convert to fraction form
    628.92/867.71 = 380.16/x
  3. Step 3: Cross multiply
    628.92x = 867.71 × 380.16
  4. Step 4: Simplify right side
    628.92x = 329,866.73
  5. Step 5: Solve for x
    x = 329,866.73/628.92
  6. Step 6: Final answer
    x = 524.50

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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.