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Finding the Fourth Proportional to 668.60, 922.38 and 419.84

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Solution

The fourth proportional to 668.60, 922.38 and 419.84 is: 579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.60 : 922.38 = 419.84 : x
  2. Step 2: Convert to fraction form
    668.60/922.38 = 419.84/x
  3. Step 3: Cross multiply
    668.60x = 922.38 × 419.84
  4. Step 4: Simplify right side
    668.60x = 387,252.02
  5. Step 5: Solve for x
    x = 387,252.02/668.60
  6. Step 6: Final answer
    x = 579.20

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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.