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Finding the Fourth Proportional to 795.55, 1,194.08 and 333.20

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Solution

The fourth proportional to 795.55, 1,194.08 and 333.20 is: 500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.55 : 1,194.08 = 333.20 : x
  2. Step 2: Convert to fraction form
    795.55/1,194.08 = 333.20/x
  3. Step 3: Cross multiply
    795.55x = 1,194.08 × 333.20
  4. Step 4: Simplify right side
    795.55x = 397,867.46
  5. Step 5: Solve for x
    x = 397,867.46/795.55
  6. Step 6: Final answer
    x = 500.12

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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.