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Finding the Fourth Proportional to 464.93, 641.42 and 268.40

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Solution

The fourth proportional to 464.93, 641.42 and 268.40 is: 370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.93 : 641.42 = 268.40 : x
  2. Step 2: Convert to fraction form
    464.93/641.42 = 268.40/x
  3. Step 3: Cross multiply
    464.93x = 641.42 × 268.40
  4. Step 4: Simplify right side
    464.93x = 172,158.40
  5. Step 5: Solve for x
    x = 172,158.40/464.93
  6. Step 6: Final answer
    x = 370.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.