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Finding the Fourth Proportional to 668.99, 923.97 and 420.53

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Solution

The fourth proportional to 668.99, 923.97 and 420.53 is: 580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.99 : 923.97 = 420.53 : x
  2. Step 2: Convert to fraction form
    668.99/923.97 = 420.53/x
  3. Step 3: Cross multiply
    668.99x = 923.97 × 420.53
  4. Step 4: Simplify right side
    668.99x = 388,552.48
  5. Step 5: Solve for x
    x = 388,552.48/668.99
  6. Step 6: Final answer
    x = 580.81

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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.