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Finding the Fourth Proportional to 568.36, 783.96 and 393.68

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Solution

The fourth proportional to 568.36, 783.96 and 393.68 is: 543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.36 : 783.96 = 393.68 : x
  2. Step 2: Convert to fraction form
    568.36/783.96 = 393.68/x
  3. Step 3: Cross multiply
    568.36x = 783.96 × 393.68
  4. Step 4: Simplify right side
    568.36x = 308,629.37
  5. Step 5: Solve for x
    x = 308,629.37/568.36
  6. Step 6: Final answer
    x = 543.02

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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.