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Finding the Fourth Proportional to 418.74, 578.42 and 349.03

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Solution

The fourth proportional to 418.74, 578.42 and 349.03 is: 482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.74 : 578.42 = 349.03 : x
  2. Step 2: Convert to fraction form
    418.74/578.42 = 349.03/x
  3. Step 3: Cross multiply
    418.74x = 578.42 × 349.03
  4. Step 4: Simplify right side
    418.74x = 201,885.93
  5. Step 5: Solve for x
    x = 201,885.93/418.74
  6. Step 6: Final answer
    x = 482.12

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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.