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Finding the Fourth Proportional to 665.98, 919.02 and 367.22

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Solution

The fourth proportional to 665.98, 919.02 and 367.22 is: 506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.98 : 919.02 = 367.22 : x
  2. Step 2: Convert to fraction form
    665.98/919.02 = 367.22/x
  3. Step 3: Cross multiply
    665.98x = 919.02 × 367.22
  4. Step 4: Simplify right side
    665.98x = 337,482.52
  5. Step 5: Solve for x
    x = 337,482.52/665.98
  6. Step 6: Final answer
    x = 506.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.