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Finding the Fourth Proportional to 308.07, 427.06 and 292.22

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Solution

The fourth proportional to 308.07, 427.06 and 292.22 is: 405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.07 : 427.06 = 292.22 : x
  2. Step 2: Convert to fraction form
    308.07/427.06 = 292.22/x
  3. Step 3: Cross multiply
    308.07x = 427.06 × 292.22
  4. Step 4: Simplify right side
    308.07x = 124,795.30
  5. Step 5: Solve for x
    x = 124,795.30/308.07
  6. Step 6: Final answer
    x = 405.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.