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Finding the Fourth Proportional to 464.51, 641.01 and 254.68

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Solution

The fourth proportional to 464.51, 641.01 and 254.68 is: 351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.51 : 641.01 = 254.68 : x
  2. Step 2: Convert to fraction form
    464.51/641.01 = 254.68/x
  3. Step 3: Cross multiply
    464.51x = 641.01 × 254.68
  4. Step 4: Simplify right side
    464.51x = 163,252.43
  5. Step 5: Solve for x
    x = 163,252.43/464.51
  6. Step 6: Final answer
    x = 351.45

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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.