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Finding the Fourth Proportional to 568.76, 784.98 and 392.22

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Solution

The fourth proportional to 568.76, 784.98 and 392.22 is: 541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.76 : 784.98 = 392.22 : x
  2. Step 2: Convert to fraction form
    568.76/784.98 = 392.22/x
  3. Step 3: Cross multiply
    568.76x = 784.98 × 392.22
  4. Step 4: Simplify right side
    568.76x = 307,884.86
  5. Step 5: Solve for x
    x = 307,884.86/568.76
  6. Step 6: Final answer
    x = 541.33

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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.