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Finding the Fourth Proportional to 464.05, 640.40 and 254.23

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Solution

The fourth proportional to 464.05, 640.40 and 254.23 is: 350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.05 : 640.40 = 254.23 : x
  2. Step 2: Convert to fraction form
    464.05/640.40 = 254.23/x
  3. Step 3: Cross multiply
    464.05x = 640.40 × 254.23
  4. Step 4: Simplify right side
    464.05x = 162,806.02
  5. Step 5: Solve for x
    x = 162,806.02/464.05
  6. Step 6: Final answer
    x = 350.84

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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.