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Finding the Fourth Proportional to 666.23, 919.41 and 386.49

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Solution

The fourth proportional to 666.23, 919.41 and 386.49 is: 533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.23 : 919.41 = 386.49 : x
  2. Step 2: Convert to fraction form
    666.23/919.41 = 386.49/x
  3. Step 3: Cross multiply
    666.23x = 919.41 × 386.49
  4. Step 4: Simplify right side
    666.23x = 355,342.77
  5. Step 5: Solve for x
    x = 355,342.77/666.23
  6. Step 6: Final answer
    x = 533.36

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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.