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Finding the Fourth Proportional to 669.66, 923.30 and 521.98

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Solution

The fourth proportional to 669.66, 923.30 and 521.98 is: 719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.66 : 923.30 = 521.98 : x
  2. Step 2: Convert to fraction form
    669.66/923.30 = 521.98/x
  3. Step 3: Cross multiply
    669.66x = 923.30 × 521.98
  4. Step 4: Simplify right side
    669.66x = 481,944.13
  5. Step 5: Solve for x
    x = 481,944.13/669.66
  6. Step 6: Final answer
    x = 719.68

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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.