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Finding the Fourth Proportional to 466.14, 643.39 and 269.77

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Solution

The fourth proportional to 466.14, 643.39 and 269.77 is: 372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.14 : 643.39 = 269.77 : x
  2. Step 2: Convert to fraction form
    466.14/643.39 = 269.77/x
  3. Step 3: Cross multiply
    466.14x = 643.39 × 269.77
  4. Step 4: Simplify right side
    466.14x = 173,565.04
  5. Step 5: Solve for x
    x = 173,565.04/466.14
  6. Step 6: Final answer
    x = 372.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.