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Finding the Fourth Proportional to 669.87, 923.94 and 448.47

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Solution

The fourth proportional to 669.87, 923.94 and 448.47 is: 618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.87 : 923.94 = 448.47 : x
  2. Step 2: Convert to fraction form
    669.87/923.94 = 448.47/x
  3. Step 3: Cross multiply
    669.87x = 923.94 × 448.47
  4. Step 4: Simplify right side
    669.87x = 414,359.37
  5. Step 5: Solve for x
    x = 414,359.37/669.87
  6. Step 6: Final answer
    x = 618.57

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1.5x scale

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.