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Finding the Fourth Proportional to 496.28, 743.76 and 280.01

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Solution

The fourth proportional to 496.28, 743.76 and 280.01 is: 419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.28 : 743.76 = 280.01 : x
  2. Step 2: Convert to fraction form
    496.28/743.76 = 280.01/x
  3. Step 3: Cross multiply
    496.28x = 743.76 × 280.01
  4. Step 4: Simplify right side
    496.28x = 208,256.52
  5. Step 5: Solve for x
    x = 208,256.52/496.28
  6. Step 6: Final answer
    x = 419.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.