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Finding the Fourth Proportional to 302.12, 415.70 and 300.12

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Solution

The fourth proportional to 302.12, 415.70 and 300.12 is: 412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.12 : 415.70 = 300.12 : x
  2. Step 2: Convert to fraction form
    302.12/415.70 = 300.12/x
  3. Step 3: Cross multiply
    302.12x = 415.70 × 300.12
  4. Step 4: Simplify right side
    302.12x = 124,759.88
  5. Step 5: Solve for x
    x = 124,759.88/302.12
  6. Step 6: Final answer
    x = 412.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.