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Finding the Fourth Proportional to 450.62, 621.82 and 254.10

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Solution

The fourth proportional to 450.62, 621.82 and 254.10 is: 350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.62 : 621.82 = 254.10 : x
  2. Step 2: Convert to fraction form
    450.62/621.82 = 254.10/x
  3. Step 3: Cross multiply
    450.62x = 621.82 × 254.10
  4. Step 4: Simplify right side
    450.62x = 158,004.46
  5. Step 5: Solve for x
    x = 158,004.46/450.62
  6. Step 6: Final answer
    x = 350.64

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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.