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Finding the Fourth Proportional to 666.53, 919.73 and 382.94

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Solution

The fourth proportional to 666.53, 919.73 and 382.94 is: 528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.53 : 919.73 = 382.94 : x
  2. Step 2: Convert to fraction form
    666.53/919.73 = 382.94/x
  3. Step 3: Cross multiply
    666.53x = 919.73 × 382.94
  4. Step 4: Simplify right side
    666.53x = 352,199.49
  5. Step 5: Solve for x
    x = 352,199.49/666.53
  6. Step 6: Final answer
    x = 528.41

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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.