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Finding the Fourth Proportional to 669.31, 923.86 and 448.64

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Solution

The fourth proportional to 669.31, 923.86 and 448.64 is: 619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.31 : 923.86 = 448.64 : x
  2. Step 2: Convert to fraction form
    669.31/923.86 = 448.64/x
  3. Step 3: Cross multiply
    669.31x = 923.86 × 448.64
  4. Step 4: Simplify right side
    669.31x = 414,477.43
  5. Step 5: Solve for x
    x = 414,477.43/669.31
  6. Step 6: Final answer
    x = 619.26

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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.