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Finding the Fourth Proportional to 452.31, 678.40 and 127.69

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Solution

The fourth proportional to 452.31, 678.40 and 127.69 is: 191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.31 : 678.40 = 127.69 : x
  2. Step 2: Convert to fraction form
    452.31/678.40 = 127.69/x
  3. Step 3: Cross multiply
    452.31x = 678.40 × 127.69
  4. Step 4: Simplify right side
    452.31x = 86,624.90
  5. Step 5: Solve for x
    x = 86,624.90/452.31
  6. Step 6: Final answer
    x = 191.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.