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Finding the Fourth Proportional to 568.47, 784.97 and 382.23

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Solution

The fourth proportional to 568.47, 784.97 and 382.23 is: 527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.47 : 784.97 = 382.23 : x
  2. Step 2: Convert to fraction form
    568.47/784.97 = 382.23/x
  3. Step 3: Cross multiply
    568.47x = 784.97 × 382.23
  4. Step 4: Simplify right side
    568.47x = 300,037.17
  5. Step 5: Solve for x
    x = 300,037.17/568.47
  6. Step 6: Final answer
    x = 527.80

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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.