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Finding the Fourth Proportional to 666.29, 919.50 and 386.57

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Solution

The fourth proportional to 666.29, 919.50 and 386.57 is: 533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.29 : 919.50 = 386.57 : x
  2. Step 2: Convert to fraction form
    666.29/919.50 = 386.57/x
  3. Step 3: Cross multiply
    666.29x = 919.50 × 386.57
  4. Step 4: Simplify right side
    666.29x = 355,451.12
  5. Step 5: Solve for x
    x = 355,451.12/666.29
  6. Step 6: Final answer
    x = 533.48

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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.