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Finding the Fourth Proportional to 302.69, 452.30 and 247.88

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Solution

The fourth proportional to 302.69, 452.30 and 247.88 is: 370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.69 : 452.30 = 247.88 : x
  2. Step 2: Convert to fraction form
    302.69/452.30 = 247.88/x
  3. Step 3: Cross multiply
    302.69x = 452.30 × 247.88
  4. Step 4: Simplify right side
    302.69x = 112,112.62
  5. Step 5: Solve for x
    x = 112,112.62/302.69
  6. Step 6: Final answer
    x = 370.39

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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.