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Finding the Fourth Proportional to 737.09, 1,106.00 and 352.25

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Solution

The fourth proportional to 737.09, 1,106.00 and 352.25 is: 528.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.09 : 1,106.00 = 352.25 : x
  2. Step 2: Convert to fraction form
    737.09/1,106.00 = 352.25/x
  3. Step 3: Cross multiply
    737.09x = 1,106.00 × 352.25
  4. Step 4: Simplify right side
    737.09x = 389,586.74
  5. Step 5: Solve for x
    x = 389,586.74/737.09
  6. Step 6: Final answer
    x = 528.55

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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.