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Finding the Fourth Proportional to 668.69, 923.00 and 469.43

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Solution

The fourth proportional to 668.69, 923.00 and 469.43 is: 647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.69 : 923.00 = 469.43 : x
  2. Step 2: Convert to fraction form
    668.69/923.00 = 469.43/x
  3. Step 3: Cross multiply
    668.69x = 923.00 × 469.43
  4. Step 4: Simplify right side
    668.69x = 433,280.39
  5. Step 5: Solve for x
    x = 433,280.39/668.69
  6. Step 6: Final answer
    x = 647.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.