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Finding the Fourth Proportional to 302, 453.02 and 286.22

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Solution

The fourth proportional to 302, 453.02 and 286.22 is: 429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302 : 453.02 = 286.22 : x
  2. Step 2: Convert to fraction form
    302/453.02 = 286.22/x
  3. Step 3: Cross multiply
    302x = 453.02 × 286.22
  4. Step 4: Simplify right side
    302x = 129,663.38
  5. Step 5: Solve for x
    x = 129,663.38/302
  6. Step 6: Final answer
    x = 429.35

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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.