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Finding the Fourth Proportional to 464.63, 641.16 and 254.81

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Solution

The fourth proportional to 464.63, 641.16 and 254.81 is: 351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.63 : 641.16 = 254.81 : x
  2. Step 2: Convert to fraction form
    464.63/641.16 = 254.81/x
  3. Step 3: Cross multiply
    464.63x = 641.16 × 254.81
  4. Step 4: Simplify right side
    464.63x = 163,370.77
  5. Step 5: Solve for x
    x = 163,370.77/464.63
  6. Step 6: Final answer
    x = 351.62

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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.