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Finding the Fourth Proportional to 302.30, 451.09 and 290.44

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Solution

The fourth proportional to 302.30, 451.09 and 290.44 is: 433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.30 : 451.09 = 290.44 : x
  2. Step 2: Convert to fraction form
    302.30/451.09 = 290.44/x
  3. Step 3: Cross multiply
    302.30x = 451.09 × 290.44
  4. Step 4: Simplify right side
    302.30x = 131,014.58
  5. Step 5: Solve for x
    x = 131,014.58/302.30
  6. Step 6: Final answer
    x = 433.39

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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.