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Finding the Fourth Proportional to 307.40, 463.42 and 273.58

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Solution

The fourth proportional to 307.40, 463.42 and 273.58 is: 412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.40 : 463.42 = 273.58 : x
  2. Step 2: Convert to fraction form
    307.40/463.42 = 273.58/x
  3. Step 3: Cross multiply
    307.40x = 463.42 × 273.58
  4. Step 4: Simplify right side
    307.40x = 126,781.63
  5. Step 5: Solve for x
    x = 126,781.63/307.40
  6. Step 6: Final answer
    x = 412.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.