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Finding the Fourth Proportional to 452.36, 678.54 and 127.75

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Solution

The fourth proportional to 452.36, 678.54 and 127.75 is: 191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.36 : 678.54 = 127.75 : x
  2. Step 2: Convert to fraction form
    452.36/678.54 = 127.75/x
  3. Step 3: Cross multiply
    452.36x = 678.54 × 127.75
  4. Step 4: Simplify right side
    452.36x = 86,683.49
  5. Step 5: Solve for x
    x = 86,683.49/452.36
  6. Step 6: Final answer
    x = 191.63

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