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Finding the Fourth Proportional to 568.51, 852.77 and 376.09

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Solution

The fourth proportional to 568.51, 852.77 and 376.09 is: 564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.51 : 852.77 = 376.09 : x
  2. Step 2: Convert to fraction form
    568.51/852.77 = 376.09/x
  3. Step 3: Cross multiply
    568.51x = 852.77 × 376.09
  4. Step 4: Simplify right side
    568.51x = 320,718.27
  5. Step 5: Solve for x
    x = 320,718.27/568.51
  6. Step 6: Final answer
    x = 564.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.