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Finding the Fourth Proportional to 466.11, 643.26 and 256.30

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Solution

The fourth proportional to 466.11, 643.26 and 256.30 is: 353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.11 : 643.26 = 256.30 : x
  2. Step 2: Convert to fraction form
    466.11/643.26 = 256.30/x
  3. Step 3: Cross multiply
    466.11x = 643.26 × 256.30
  4. Step 4: Simplify right side
    466.11x = 164,867.54
  5. Step 5: Solve for x
    x = 164,867.54/466.11
  6. Step 6: Final answer
    x = 353.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.