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Finding the Fourth Proportional to 568.26, 784.16 and 381.72

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Solution

The fourth proportional to 568.26, 784.16 and 381.72 is: 526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.26 : 784.16 = 381.72 : x
  2. Step 2: Convert to fraction form
    568.26/784.16 = 381.72/x
  3. Step 3: Cross multiply
    568.26x = 784.16 × 381.72
  4. Step 4: Simplify right side
    568.26x = 299,329.56
  5. Step 5: Solve for x
    x = 299,329.56/568.26
  6. Step 6: Final answer
    x = 526.75

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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.