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Finding the Fourth Proportional to 568.26, 784.05 and 335.28

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Solution

The fourth proportional to 568.26, 784.05 and 335.28 is: 462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.26 : 784.05 = 335.28 : x
  2. Step 2: Convert to fraction form
    568.26/784.05 = 335.28/x
  3. Step 3: Cross multiply
    568.26x = 784.05 × 335.28
  4. Step 4: Simplify right side
    568.26x = 262,876.28
  5. Step 5: Solve for x
    x = 262,876.28/568.26
  6. Step 6: Final answer
    x = 462.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.