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Finding the Fourth Proportional to 628.75, 867.69 and 496.11

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Solution

The fourth proportional to 628.75, 867.69 and 496.11 is: 684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.75 : 867.69 = 496.11 : x
  2. Step 2: Convert to fraction form
    628.75/867.69 = 496.11/x
  3. Step 3: Cross multiply
    628.75x = 867.69 × 496.11
  4. Step 4: Simplify right side
    628.75x = 430,467.21
  5. Step 5: Solve for x
    x = 430,467.21/628.75
  6. Step 6: Final answer
    x = 684.64

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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.