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Finding the Fourth Proportional to 454.77, 627.62 and 280.13

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Solution

The fourth proportional to 454.77, 627.62 and 280.13 is: 386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.77 : 627.62 = 280.13 : x
  2. Step 2: Convert to fraction form
    454.77/627.62 = 280.13/x
  3. Step 3: Cross multiply
    454.77x = 627.62 × 280.13
  4. Step 4: Simplify right side
    454.77x = 175,810.65
  5. Step 5: Solve for x
    x = 175,810.65/454.77
  6. Step 6: Final answer
    x = 386.59

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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.