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Finding the Fourth Proportional to 559.50, 834.71 and 533.37

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Solution

The fourth proportional to 559.50, 834.71 and 533.37 is: 795.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.50 : 834.71 = 533.37 : x
  2. Step 2: Convert to fraction form
    559.50/834.71 = 533.37/x
  3. Step 3: Cross multiply
    559.50x = 834.71 × 533.37
  4. Step 4: Simplify right side
    559.50x = 445,209.27
  5. Step 5: Solve for x
    x = 445,209.27/559.50
  6. Step 6: Final answer
    x = 795.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.