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Finding the Fourth Proportional to 307.82, 424.70 and 214.46

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Solution

The fourth proportional to 307.82, 424.70 and 214.46 is: 295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.82 : 424.70 = 214.46 : x
  2. Step 2: Convert to fraction form
    307.82/424.70 = 214.46/x
  3. Step 3: Cross multiply
    307.82x = 424.70 × 214.46
  4. Step 4: Simplify right side
    307.82x = 91,077.97
  5. Step 5: Solve for x
    x = 91,077.97/307.82
  6. Step 6: Final answer
    x = 295.89

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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.