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Finding the Fourth Proportional to 568.20, 783.96 and 335.28

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Solution

The fourth proportional to 568.20, 783.96 and 335.28 is: 462.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.20 : 783.96 = 335.28 : x
  2. Step 2: Convert to fraction form
    568.20/783.96 = 335.28/x
  3. Step 3: Cross multiply
    568.20x = 783.96 × 335.28
  4. Step 4: Simplify right side
    568.20x = 262,846.11
  5. Step 5: Solve for x
    x = 262,846.11/568.20
  6. Step 6: Final answer
    x = 462.59

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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.