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Finding the Fourth Proportional to 466.49, 643.86 and 270.11

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Solution

The fourth proportional to 466.49, 643.86 and 270.11 is: 372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.49 : 643.86 = 270.11 : x
  2. Step 2: Convert to fraction form
    466.49/643.86 = 270.11/x
  3. Step 3: Cross multiply
    466.49x = 643.86 × 270.11
  4. Step 4: Simplify right side
    466.49x = 173,909.81
  5. Step 5: Solve for x
    x = 173,909.81/466.49
  6. Step 6: Final answer
    x = 372.81

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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.