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Finding the Fourth Proportional to 700.22, 1,049.52 and 289.28

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Solution

The fourth proportional to 700.22, 1,049.52 and 289.28 is: 433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.22 : 1,049.52 = 289.28 : x
  2. Step 2: Convert to fraction form
    700.22/1,049.52 = 289.28/x
  3. Step 3: Cross multiply
    700.22x = 1,049.52 × 289.28
  4. Step 4: Simplify right side
    700.22x = 303,605.15
  5. Step 5: Solve for x
    x = 303,605.15/700.22
  6. Step 6: Final answer
    x = 433.59

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