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Finding the Fourth Proportional to 628.82, 865.74 and 540.12

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Solution

The fourth proportional to 628.82, 865.74 and 540.12 is: 743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.82 : 865.74 = 540.12 : x
  2. Step 2: Convert to fraction form
    628.82/865.74 = 540.12/x
  3. Step 3: Cross multiply
    628.82x = 865.74 × 540.12
  4. Step 4: Simplify right side
    628.82x = 467,603.49
  5. Step 5: Solve for x
    x = 467,603.49/628.82
  6. Step 6: Final answer
    x = 743.62

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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.