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Finding the Fourth Proportional to 668.25, 922.76 and 419.99

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Solution

The fourth proportional to 668.25, 922.76 and 419.99 is: 579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.25 : 922.76 = 419.99 : x
  2. Step 2: Convert to fraction form
    668.25/922.76 = 419.99/x
  3. Step 3: Cross multiply
    668.25x = 922.76 × 419.99
  4. Step 4: Simplify right side
    668.25x = 387,543.26
  5. Step 5: Solve for x
    x = 387,543.26/668.25
  6. Step 6: Final answer
    x = 579.94

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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.