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Finding the Fourth Proportional to 454.74, 627.48 and 280.14

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Solution

The fourth proportional to 454.74, 627.48 and 280.14 is: 386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.74 : 627.48 = 280.14 : x
  2. Step 2: Convert to fraction form
    454.74/627.48 = 280.14/x
  3. Step 3: Cross multiply
    454.74x = 627.48 × 280.14
  4. Step 4: Simplify right side
    454.74x = 175,782.25
  5. Step 5: Solve for x
    x = 175,782.25/454.74
  6. Step 6: Final answer
    x = 386.56

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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.