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Finding the Fourth Proportional to 283.04, 424.09 and 272.37

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Solution

The fourth proportional to 283.04, 424.09 and 272.37 is: 408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.04 : 424.09 = 272.37 : x
  2. Step 2: Convert to fraction form
    283.04/424.09 = 272.37/x
  3. Step 3: Cross multiply
    283.04x = 424.09 × 272.37
  4. Step 4: Simplify right side
    283.04x = 115,509.39
  5. Step 5: Solve for x
    x = 115,509.39/283.04
  6. Step 6: Final answer
    x = 408.10

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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.