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Finding the Fourth Proportional to 454.63, 627.15 and 288.56

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Solution

The fourth proportional to 454.63, 627.15 and 288.56 is: 398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.63 : 627.15 = 288.56 : x
  2. Step 2: Convert to fraction form
    454.63/627.15 = 288.56/x
  3. Step 3: Cross multiply
    454.63x = 627.15 × 288.56
  4. Step 4: Simplify right side
    454.63x = 180,970.40
  5. Step 5: Solve for x
    x = 180,970.40/454.63
  6. Step 6: Final answer
    x = 398.06

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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.