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Finding the Fourth Proportional to 466.28, 643.60 and 318.88

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Solution

The fourth proportional to 466.28, 643.60 and 318.88 is: 440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.28 : 643.60 = 318.88 : x
  2. Step 2: Convert to fraction form
    466.28/643.60 = 318.88/x
  3. Step 3: Cross multiply
    466.28x = 643.60 × 318.88
  4. Step 4: Simplify right side
    466.28x = 205,231.17
  5. Step 5: Solve for x
    x = 205,231.17/466.28
  6. Step 6: Final answer
    x = 440.15

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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.