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Finding the Fourth Proportional to 835.85, 1,253.62 and 242.94

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Solution

The fourth proportional to 835.85, 1,253.62 and 242.94 is: 364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.85 : 1,253.62 = 242.94 : x
  2. Step 2: Convert to fraction form
    835.85/1,253.62 = 242.94/x
  3. Step 3: Cross multiply
    835.85x = 1,253.62 × 242.94
  4. Step 4: Simplify right side
    835.85x = 304,559.16
  5. Step 5: Solve for x
    x = 304,559.16/835.85
  6. Step 6: Final answer
    x = 364.37

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Why These Related Problems?

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