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Finding the Fourth Proportional to 283.36, 422.72 and 275.52

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Solution

The fourth proportional to 283.36, 422.72 and 275.52 is: 411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.36 : 422.72 = 275.52 : x
  2. Step 2: Convert to fraction form
    283.36/422.72 = 275.52/x
  3. Step 3: Cross multiply
    283.36x = 422.72 × 275.52
  4. Step 4: Simplify right side
    283.36x = 116,467.81
  5. Step 5: Solve for x
    x = 116,467.81/283.36
  6. Step 6: Final answer
    x = 411.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.