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Finding the Fourth Proportional to 700.27, 1,049.91 and 289.30

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Solution

The fourth proportional to 700.27, 1,049.91 and 289.30 is: 433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.27 : 1,049.91 = 289.30 : x
  2. Step 2: Convert to fraction form
    700.27/1,049.91 = 289.30/x
  3. Step 3: Cross multiply
    700.27x = 1,049.91 × 289.30
  4. Step 4: Simplify right side
    700.27x = 303,738.96
  5. Step 5: Solve for x
    x = 303,738.96/700.27
  6. Step 6: Final answer
    x = 433.75

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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.