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Finding the Fourth Proportional to 568.26, 848.97 and 361.08

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Solution

The fourth proportional to 568.26, 848.97 and 361.08 is: 539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.26 : 848.97 = 361.08 : x
  2. Step 2: Convert to fraction form
    568.26/848.97 = 361.08/x
  3. Step 3: Cross multiply
    568.26x = 848.97 × 361.08
  4. Step 4: Simplify right side
    568.26x = 306,546.09
  5. Step 5: Solve for x
    x = 306,546.09/568.26
  6. Step 6: Final answer
    x = 539.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.