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Finding the Fourth Proportional to 735.81, 1,103.59 and 242.22

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Solution

The fourth proportional to 735.81, 1,103.59 and 242.22 is: 363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.81 : 1,103.59 = 242.22 : x
  2. Step 2: Convert to fraction form
    735.81/1,103.59 = 242.22/x
  3. Step 3: Cross multiply
    735.81x = 1,103.59 × 242.22
  4. Step 4: Simplify right side
    735.81x = 267,307.60
  5. Step 5: Solve for x
    x = 267,307.60/735.81
  6. Step 6: Final answer
    x = 363.29

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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.