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Finding the Fourth Proportional to 455.76, 628.56 and 280.80

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Solution

The fourth proportional to 455.76, 628.56 and 280.80 is: 387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.76 : 628.56 = 280.80 : x
  2. Step 2: Convert to fraction form
    455.76/628.56 = 280.80/x
  3. Step 3: Cross multiply
    455.76x = 628.56 × 280.80
  4. Step 4: Simplify right side
    455.76x = 176,499.65
  5. Step 5: Solve for x
    x = 176,499.65/455.76
  6. Step 6: Final answer
    x = 387.26

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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.