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Finding the Fourth Proportional to 666.56, 919.89 and 404.60

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Solution

The fourth proportional to 666.56, 919.89 and 404.60 is: 558.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.56 : 919.89 = 404.60 : x
  2. Step 2: Convert to fraction form
    666.56/919.89 = 404.60/x
  3. Step 3: Cross multiply
    666.56x = 919.89 × 404.60
  4. Step 4: Simplify right side
    666.56x = 372,182.89
  5. Step 5: Solve for x
    x = 372,182.89/666.56
  6. Step 6: Final answer
    x = 558.36

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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.