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Finding the Fourth Proportional to 666.34, 919.47 and 371.59

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Solution

The fourth proportional to 666.34, 919.47 and 371.59 is: 512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.34 : 919.47 = 371.59 : x
  2. Step 2: Convert to fraction form
    666.34/919.47 = 371.59/x
  3. Step 3: Cross multiply
    666.34x = 919.47 × 371.59
  4. Step 4: Simplify right side
    666.34x = 341,665.86
  5. Step 5: Solve for x
    x = 341,665.86/666.34
  6. Step 6: Final answer
    x = 512.75

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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.