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Finding the Fourth Proportional to 568.57, 784.84 and 392.45

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Solution

The fourth proportional to 568.57, 784.84 and 392.45 is: 541.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.57 : 784.84 = 392.45 : x
  2. Step 2: Convert to fraction form
    568.57/784.84 = 392.45/x
  3. Step 3: Cross multiply
    568.57x = 784.84 × 392.45
  4. Step 4: Simplify right side
    568.57x = 308,006.29
  5. Step 5: Solve for x
    x = 308,006.29/568.57
  6. Step 6: Final answer
    x = 541.72

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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.