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Finding the Fourth Proportional to 455.17, 627.76 and 280.45

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Solution

The fourth proportional to 455.17, 627.76 and 280.45 is: 386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.17 : 627.76 = 280.45 : x
  2. Step 2: Convert to fraction form
    455.17/627.76 = 280.45/x
  3. Step 3: Cross multiply
    455.17x = 627.76 × 280.45
  4. Step 4: Simplify right side
    455.17x = 176,055.29
  5. Step 5: Solve for x
    x = 176,055.29/455.17
  6. Step 6: Final answer
    x = 386.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.