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Finding the Fourth Proportional to 568.45, 784.17 and 381.96

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Solution

The fourth proportional to 568.45, 784.17 and 381.96 is: 526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.45 : 784.17 = 381.96 : x
  2. Step 2: Convert to fraction form
    568.45/784.17 = 381.96/x
  3. Step 3: Cross multiply
    568.45x = 784.17 × 381.96
  4. Step 4: Simplify right side
    568.45x = 299,521.57
  5. Step 5: Solve for x
    x = 299,521.57/568.45
  6. Step 6: Final answer
    x = 526.91

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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.