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Finding the Fourth Proportional to 666.34, 919.53 and 371.60

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Solution

The fourth proportional to 666.34, 919.53 and 371.60 is: 512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.34 : 919.53 = 371.60 : x
  2. Step 2: Convert to fraction form
    666.34/919.53 = 371.60/x
  3. Step 3: Cross multiply
    666.34x = 919.53 × 371.60
  4. Step 4: Simplify right side
    666.34x = 341,697.35
  5. Step 5: Solve for x
    x = 341,697.35/666.34
  6. Step 6: Final answer
    x = 512.80

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Why These Related Problems?

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