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Finding the Fourth Proportional to 466.96, 703.42 and 382.48

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Solution

The fourth proportional to 466.96, 703.42 and 382.48 is: 576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.96 : 703.42 = 382.48 : x
  2. Step 2: Convert to fraction form
    466.96/703.42 = 382.48/x
  3. Step 3: Cross multiply
    466.96x = 703.42 × 382.48
  4. Step 4: Simplify right side
    466.96x = 269,044.08
  5. Step 5: Solve for x
    x = 269,044.08/466.96
  6. Step 6: Final answer
    x = 576.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.