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Finding the Fourth Proportional to 666.23, 919.71 and 445.32

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Solution

The fourth proportional to 666.23, 919.71 and 445.32 is: 614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.23 : 919.71 = 445.32 : x
  2. Step 2: Convert to fraction form
    666.23/919.71 = 445.32/x
  3. Step 3: Cross multiply
    666.23x = 919.71 × 445.32
  4. Step 4: Simplify right side
    666.23x = 409,565.26
  5. Step 5: Solve for x
    x = 409,565.26/666.23
  6. Step 6: Final answer
    x = 614.75

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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.