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Finding the Fourth Proportional to 484, 669 and 418.36

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Solution

The fourth proportional to 484, 669 and 418.36 is: 578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    484 : 669 = 418.36 : x
  2. Step 2: Convert to fraction form
    484/669 = 418.36/x
  3. Step 3: Cross multiply
    484x = 669 × 418.36
  4. Step 4: Simplify right side
    484x = 279,882.84
  5. Step 5: Solve for x
    x = 279,882.84/484
  6. Step 6: Final answer
    x = 578.27

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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.