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Finding the Fourth Proportional to 450.64, 621.06 and 338.42

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Solution

The fourth proportional to 450.64, 621.06 and 338.42 is: 466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.64 : 621.06 = 338.42 : x
  2. Step 2: Convert to fraction form
    450.64/621.06 = 338.42/x
  3. Step 3: Cross multiply
    450.64x = 621.06 × 338.42
  4. Step 4: Simplify right side
    450.64x = 210,179.13
  5. Step 5: Solve for x
    x = 210,179.13/450.64
  6. Step 6: Final answer
    x = 466.40

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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.