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Finding the Fourth Proportional to 568.20, 853.65 and 499.83

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Solution

The fourth proportional to 568.20, 853.65 and 499.83 is: 750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.20 : 853.65 = 499.83 : x
  2. Step 2: Convert to fraction form
    568.20/853.65 = 499.83/x
  3. Step 3: Cross multiply
    568.20x = 853.65 × 499.83
  4. Step 4: Simplify right side
    568.20x = 426,679.88
  5. Step 5: Solve for x
    x = 426,679.88/568.20
  6. Step 6: Final answer
    x = 750.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.