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Finding the Fourth Proportional to 666.10, 919.34 and 417.64

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Solution

The fourth proportional to 666.10, 919.34 and 417.64 is: 576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.10 : 919.34 = 417.64 : x
  2. Step 2: Convert to fraction form
    666.10/919.34 = 417.64/x
  3. Step 3: Cross multiply
    666.10x = 919.34 × 417.64
  4. Step 4: Simplify right side
    666.10x = 383,949.97
  5. Step 5: Solve for x
    x = 383,949.97/666.10
  6. Step 6: Final answer
    x = 576.41

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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.