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Finding the Fourth Proportional to 666.51, 919.08 and 445.51

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Solution

The fourth proportional to 666.51, 919.08 and 445.51 is: 614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.51 : 919.08 = 445.51 : x
  2. Step 2: Convert to fraction form
    666.51/919.08 = 445.51/x
  3. Step 3: Cross multiply
    666.51x = 919.08 × 445.51
  4. Step 4: Simplify right side
    666.51x = 409,459.33
  5. Step 5: Solve for x
    x = 409,459.33/666.51
  6. Step 6: Final answer
    x = 614.34

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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.