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Finding the Fourth Proportional to 666.57, 919.64 and 417.80

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Solution

The fourth proportional to 666.57, 919.64 and 417.80 is: 576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.57 : 919.64 = 417.80 : x
  2. Step 2: Convert to fraction form
    666.57/919.64 = 417.80/x
  3. Step 3: Cross multiply
    666.57x = 919.64 × 417.80
  4. Step 4: Simplify right side
    666.57x = 384,225.59
  5. Step 5: Solve for x
    x = 384,225.59/666.57
  6. Step 6: Final answer
    x = 576.42

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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.