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Finding the Fourth Proportional to 302.83, 419.87 and 286.43

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Solution

The fourth proportional to 302.83, 419.87 and 286.43 is: 397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.83 : 419.87 = 286.43 : x
  2. Step 2: Convert to fraction form
    302.83/419.87 = 286.43/x
  3. Step 3: Cross multiply
    302.83x = 419.87 × 286.43
  4. Step 4: Simplify right side
    302.83x = 120,261.98
  5. Step 5: Solve for x
    x = 120,261.98/302.83
  6. Step 6: Final answer
    x = 397.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.