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Finding the Fourth Proportional to 669.24, 923.76 and 448.08

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Solution

The fourth proportional to 669.24, 923.76 and 448.08 is: 618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.24 : 923.76 = 448.08 : x
  2. Step 2: Convert to fraction form
    669.24/923.76 = 448.08/x
  3. Step 3: Cross multiply
    669.24x = 923.76 × 448.08
  4. Step 4: Simplify right side
    669.24x = 413,918.38
  5. Step 5: Solve for x
    x = 413,918.38/669.24
  6. Step 6: Final answer
    x = 618.49

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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.