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Finding the Fourth Proportional to 900.26, 1,350.71 and 352.83

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Solution

The fourth proportional to 900.26, 1,350.71 and 352.83 is: 529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.26 : 1,350.71 = 352.83 : x
  2. Step 2: Convert to fraction form
    900.26/1,350.71 = 352.83/x
  3. Step 3: Cross multiply
    900.26x = 1,350.71 × 352.83
  4. Step 4: Simplify right side
    900.26x = 476,571.01
  5. Step 5: Solve for x
    x = 476,571.01/900.26
  6. Step 6: Final answer
    x = 529.37

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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.