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Finding the Fourth Proportional to 646.98, 892.86 and 363.45

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Solution

The fourth proportional to 646.98, 892.86 and 363.45 is: 501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.98 : 892.86 = 363.45 : x
  2. Step 2: Convert to fraction form
    646.98/892.86 = 363.45/x
  3. Step 3: Cross multiply
    646.98x = 892.86 × 363.45
  4. Step 4: Simplify right side
    646.98x = 324,507.56
  5. Step 5: Solve for x
    x = 324,507.56/646.98
  6. Step 6: Final answer
    x = 501.57

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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.