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Finding the Fourth Proportional to 464.77, 641.39 and 254.95

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Solution

The fourth proportional to 464.77, 641.39 and 254.95 is: 351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.77 : 641.39 = 254.95 : x
  2. Step 2: Convert to fraction form
    464.77/641.39 = 254.95/x
  3. Step 3: Cross multiply
    464.77x = 641.39 × 254.95
  4. Step 4: Simplify right side
    464.77x = 163,522.38
  5. Step 5: Solve for x
    x = 163,522.38/464.77
  6. Step 6: Final answer
    x = 351.84

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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.