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Finding the Fourth Proportional to 568.95, 784.86 and 382.44

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Solution

The fourth proportional to 568.95, 784.86 and 382.44 is: 527.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.95 : 784.86 = 382.44 : x
  2. Step 2: Convert to fraction form
    568.95/784.86 = 382.44/x
  3. Step 3: Cross multiply
    568.95x = 784.86 × 382.44
  4. Step 4: Simplify right side
    568.95x = 300,161.86
  5. Step 5: Solve for x
    x = 300,161.86/568.95
  6. Step 6: Final answer
    x = 527.57

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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.