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Finding the Fourth Proportional to 469.97, 649.73 and 353.33

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Solution

The fourth proportional to 469.97, 649.73 and 353.33 is: 488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.97 : 649.73 = 353.33 : x
  2. Step 2: Convert to fraction form
    469.97/649.73 = 353.33/x
  3. Step 3: Cross multiply
    469.97x = 649.73 × 353.33
  4. Step 4: Simplify right side
    469.97x = 229,569.10
  5. Step 5: Solve for x
    x = 229,569.10/469.97
  6. Step 6: Final answer
    x = 488.48

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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.