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Finding the Fourth Proportional to 464.90, 641.50 and 268.40

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Solution

The fourth proportional to 464.90, 641.50 and 268.40 is: 370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.90 : 641.50 = 268.40 : x
  2. Step 2: Convert to fraction form
    464.90/641.50 = 268.40/x
  3. Step 3: Cross multiply
    464.90x = 641.50 × 268.40
  4. Step 4: Simplify right side
    464.90x = 172,179.53
  5. Step 5: Solve for x
    x = 172,179.53/464.90
  6. Step 6: Final answer
    x = 370.36

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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.