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Finding the Fourth Proportional to 466.16, 643.41 and 269.64

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Solution

The fourth proportional to 466.16, 643.41 and 269.64 is: 372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.16 : 643.41 = 269.64 : x
  2. Step 2: Convert to fraction form
    466.16/643.41 = 269.64/x
  3. Step 3: Cross multiply
    466.16x = 643.41 × 269.64
  4. Step 4: Simplify right side
    466.16x = 173,489.07
  5. Step 5: Solve for x
    x = 173,489.07/466.16
  6. Step 6: Final answer
    x = 372.17

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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.