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Finding the Fourth Proportional to 668.88, 922.31 and 419.90

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Solution

The fourth proportional to 668.88, 922.31 and 419.90 is: 578.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.88 : 922.31 = 419.90 : x
  2. Step 2: Convert to fraction form
    668.88/922.31 = 419.90/x
  3. Step 3: Cross multiply
    668.88x = 922.31 × 419.90
  4. Step 4: Simplify right side
    668.88x = 387,272.83
  5. Step 5: Solve for x
    x = 387,272.83/668.88
  6. Step 6: Final answer
    x = 578.99

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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.