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Finding the Fourth Proportional to 455.67, 628.46 and 280.95

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Solution

The fourth proportional to 455.67, 628.46 and 280.95 is: 387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.67 : 628.46 = 280.95 : x
  2. Step 2: Convert to fraction form
    455.67/628.46 = 280.95/x
  3. Step 3: Cross multiply
    455.67x = 628.46 × 280.95
  4. Step 4: Simplify right side
    455.67x = 176,564.43
  5. Step 5: Solve for x
    x = 176,564.43/455.67
  6. Step 6: Final answer
    x = 387.48

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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.