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Finding the Fourth Proportional to 452.09, 678.03 and 127.49

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Solution

The fourth proportional to 452.09, 678.03 and 127.49 is: 191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.09 : 678.03 = 127.49 : x
  2. Step 2: Convert to fraction form
    452.09/678.03 = 127.49/x
  3. Step 3: Cross multiply
    452.09x = 678.03 × 127.49
  4. Step 4: Simplify right side
    452.09x = 86,442.04
  5. Step 5: Solve for x
    x = 86,442.04/452.09
  6. Step 6: Final answer
    x = 191.21

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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.