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Finding the Fourth Proportional to 468.15, 646.07 and 268.98

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Solution

The fourth proportional to 468.15, 646.07 and 268.98 is: 371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.15 : 646.07 = 268.98 : x
  2. Step 2: Convert to fraction form
    468.15/646.07 = 268.98/x
  3. Step 3: Cross multiply
    468.15x = 646.07 × 268.98
  4. Step 4: Simplify right side
    468.15x = 173,778.56
  5. Step 5: Solve for x
    x = 173,778.56/468.15
  6. Step 6: Final answer
    x = 371.20

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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.