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Finding the Fourth Proportional to 568.08, 784 and 335.36

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Solution

The fourth proportional to 568.08, 784 and 335.36 is: 462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.08 : 784 = 335.36 : x
  2. Step 2: Convert to fraction form
    568.08/784 = 335.36/x
  3. Step 3: Cross multiply
    568.08x = 784 × 335.36
  4. Step 4: Simplify right side
    568.08x = 262,922.24
  5. Step 5: Solve for x
    x = 262,922.24/568.08
  6. Step 6: Final answer
    x = 462.83

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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.