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Finding the Fourth Proportional to 668.91, 922.77 and 433.07

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Solution

The fourth proportional to 668.91, 922.77 and 433.07 is: 597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.91 : 922.77 = 433.07 : x
  2. Step 2: Convert to fraction form
    668.91/922.77 = 433.07/x
  3. Step 3: Cross multiply
    668.91x = 922.77 × 433.07
  4. Step 4: Simplify right side
    668.91x = 399,619.39
  5. Step 5: Solve for x
    x = 399,619.39/668.91
  6. Step 6: Final answer
    x = 597.42

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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.