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Finding the Fourth Proportional to 464.64, 641.20 and 254.81

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Solution

The fourth proportional to 464.64, 641.20 and 254.81 is: 351.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.64 : 641.20 = 254.81 : x
  2. Step 2: Convert to fraction form
    464.64/641.20 = 254.81/x
  3. Step 3: Cross multiply
    464.64x = 641.20 × 254.81
  4. Step 4: Simplify right side
    464.64x = 163,384.17
  5. Step 5: Solve for x
    x = 163,384.17/464.64
  6. Step 6: Final answer
    x = 351.64

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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.