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Finding the Fourth Proportional to 568.62, 850.91 and 500.58

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Solution

The fourth proportional to 568.62, 850.91 and 500.58 is: 749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.62 : 850.91 = 500.58 : x
  2. Step 2: Convert to fraction form
    568.62/850.91 = 500.58/x
  3. Step 3: Cross multiply
    568.62x = 850.91 × 500.58
  4. Step 4: Simplify right side
    568.62x = 425,946.02
  5. Step 5: Solve for x
    x = 425,946.02/568.62
  6. Step 6: Final answer
    x = 749.09

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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.