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Finding the Fourth Proportional to 454.86, 627.17 and 380.34

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Solution

The fourth proportional to 454.86, 627.17 and 380.34 is: 524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.86 : 627.17 = 380.34 : x
  2. Step 2: Convert to fraction form
    454.86/627.17 = 380.34/x
  3. Step 3: Cross multiply
    454.86x = 627.17 × 380.34
  4. Step 4: Simplify right side
    454.86x = 238,532.80
  5. Step 5: Solve for x
    x = 238,532.80/454.86
  6. Step 6: Final answer
    x = 524.42

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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.