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Finding the Fourth Proportional to 466.50, 643.86 and 270.06

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Solution

The fourth proportional to 466.50, 643.86 and 270.06 is: 372.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.50 : 643.86 = 270.06 : x
  2. Step 2: Convert to fraction form
    466.50/643.86 = 270.06/x
  3. Step 3: Cross multiply
    466.50x = 643.86 × 270.06
  4. Step 4: Simplify right side
    466.50x = 173,880.83
  5. Step 5: Solve for x
    x = 173,880.83/466.50
  6. Step 6: Final answer
    x = 372.73

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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.