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Finding the Fourth Proportional to 307.72, 421.88 and 302.26

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Solution

The fourth proportional to 307.72, 421.88 and 302.26 is: 414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.72 : 421.88 = 302.26 : x
  2. Step 2: Convert to fraction form
    307.72/421.88 = 302.26/x
  3. Step 3: Cross multiply
    307.72x = 421.88 × 302.26
  4. Step 4: Simplify right side
    307.72x = 127,517.45
  5. Step 5: Solve for x
    x = 127,517.45/307.72
  6. Step 6: Final answer
    x = 414.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.