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Finding the Fourth Proportional to 568.26, 783.63 and 381.78

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Solution

The fourth proportional to 568.26, 783.63 and 381.78 is: 526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.26 : 783.63 = 381.78 : x
  2. Step 2: Convert to fraction form
    568.26/783.63 = 381.78/x
  3. Step 3: Cross multiply
    568.26x = 783.63 × 381.78
  4. Step 4: Simplify right side
    568.26x = 299,174.26
  5. Step 5: Solve for x
    x = 299,174.26/568.26
  6. Step 6: Final answer
    x = 526.47

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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.