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Finding the Fourth Proportional to 668.56, 922.32 and 419.50

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Solution

The fourth proportional to 668.56, 922.32 and 419.50 is: 578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.56 : 922.32 = 419.50 : x
  2. Step 2: Convert to fraction form
    668.56/922.32 = 419.50/x
  3. Step 3: Cross multiply
    668.56x = 922.32 × 419.50
  4. Step 4: Simplify right side
    668.56x = 386,913.24
  5. Step 5: Solve for x
    x = 386,913.24/668.56
  6. Step 6: Final answer
    x = 578.73

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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.