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Finding the Fourth Proportional to 477.36, 714.69 and 367.61

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Solution

The fourth proportional to 477.36, 714.69 and 367.61 is: 550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.36 : 714.69 = 367.61 : x
  2. Step 2: Convert to fraction form
    477.36/714.69 = 367.61/x
  3. Step 3: Cross multiply
    477.36x = 714.69 × 367.61
  4. Step 4: Simplify right side
    477.36x = 262,723.62
  5. Step 5: Solve for x
    x = 262,723.62/477.36
  6. Step 6: Final answer
    x = 550.37

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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.