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Finding the Fourth Proportional to 668.76, 923.58 and 459.48

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Solution

The fourth proportional to 668.76, 923.58 and 459.48 is: 634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.76 : 923.58 = 459.48 : x
  2. Step 2: Convert to fraction form
    668.76/923.58 = 459.48/x
  3. Step 3: Cross multiply
    668.76x = 923.58 × 459.48
  4. Step 4: Simplify right side
    668.76x = 424,366.54
  5. Step 5: Solve for x
    x = 424,366.54/668.76
  6. Step 6: Final answer
    x = 634.56

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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.