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Finding the Fourth Proportional to 572.87, 858.74 and 226.02

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Solution

The fourth proportional to 572.87, 858.74 and 226.02 is: 338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.87 : 858.74 = 226.02 : x
  2. Step 2: Convert to fraction form
    572.87/858.74 = 226.02/x
  3. Step 3: Cross multiply
    572.87x = 858.74 × 226.02
  4. Step 4: Simplify right side
    572.87x = 194,089.67
  5. Step 5: Solve for x
    x = 194,089.67/572.87
  6. Step 6: Final answer
    x = 338.80

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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.