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Finding the Fourth Proportional to 666.03, 919.26 and 456.63

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Solution

The fourth proportional to 666.03, 919.26 and 456.63 is: 630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.03 : 919.26 = 456.63 : x
  2. Step 2: Convert to fraction form
    666.03/919.26 = 456.63/x
  3. Step 3: Cross multiply
    666.03x = 919.26 × 456.63
  4. Step 4: Simplify right side
    666.03x = 419,761.69
  5. Step 5: Solve for x
    x = 419,761.69/666.03
  6. Step 6: Final answer
    x = 630.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.