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Finding the Fourth Proportional to 307.74, 424.59 and 191.28

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Solution

The fourth proportional to 307.74, 424.59 and 191.28 is: 263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.74 : 424.59 = 191.28 : x
  2. Step 2: Convert to fraction form
    307.74/424.59 = 191.28/x
  3. Step 3: Cross multiply
    307.74x = 424.59 × 191.28
  4. Step 4: Simplify right side
    307.74x = 81,215.58
  5. Step 5: Solve for x
    x = 81,215.58/307.74
  6. Step 6: Final answer
    x = 263.91

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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.