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Finding the Fourth Proportional to 464.67, 641.18 and 268.18

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Solution

The fourth proportional to 464.67, 641.18 and 268.18 is: 370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.67 : 641.18 = 268.18 : x
  2. Step 2: Convert to fraction form
    464.67/641.18 = 268.18/x
  3. Step 3: Cross multiply
    464.67x = 641.18 × 268.18
  4. Step 4: Simplify right side
    464.67x = 171,950.72
  5. Step 5: Solve for x
    x = 171,950.72/464.67
  6. Step 6: Final answer
    x = 370.05

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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.