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Finding the Fourth Proportional to 466.46, 643.80 and 269.98

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Solution

The fourth proportional to 466.46, 643.80 and 269.98 is: 372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.46 : 643.80 = 269.98 : x
  2. Step 2: Convert to fraction form
    466.46/643.80 = 269.98/x
  3. Step 3: Cross multiply
    466.46x = 643.80 × 269.98
  4. Step 4: Simplify right side
    466.46x = 173,813.12
  5. Step 5: Solve for x
    x = 173,813.12/466.46
  6. Step 6: Final answer
    x = 372.62

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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.