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Finding the Fourth Proportional to 464.62, 641.20 and 268.14

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Solution

The fourth proportional to 464.62, 641.20 and 268.14 is: 370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.62 : 641.20 = 268.14 : x
  2. Step 2: Convert to fraction form
    464.62/641.20 = 268.14/x
  3. Step 3: Cross multiply
    464.62x = 641.20 × 268.14
  4. Step 4: Simplify right side
    464.62x = 171,931.37
  5. Step 5: Solve for x
    x = 171,931.37/464.62
  6. Step 6: Final answer
    x = 370.05

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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.