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Finding the Fourth Proportional to 466.23, 643.39 and 269.74

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Solution

The fourth proportional to 466.23, 643.39 and 269.74 is: 372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.23 : 643.39 = 269.74 : x
  2. Step 2: Convert to fraction form
    466.23/643.39 = 269.74/x
  3. Step 3: Cross multiply
    466.23x = 643.39 × 269.74
  4. Step 4: Simplify right side
    466.23x = 173,548.02
  5. Step 5: Solve for x
    x = 173,548.02/466.23
  6. Step 6: Final answer
    x = 372.24

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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.