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Finding the Fourth Proportional to 842.02, 1,263.64 and 355.48

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Solution

The fourth proportional to 842.02, 1,263.64 and 355.48 is: 533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.02 : 1,263.64 = 355.48 : x
  2. Step 2: Convert to fraction form
    842.02/1,263.64 = 355.48/x
  3. Step 3: Cross multiply
    842.02x = 1,263.64 × 355.48
  4. Step 4: Simplify right side
    842.02x = 449,198.75
  5. Step 5: Solve for x
    x = 449,198.75/842.02
  6. Step 6: Final answer
    x = 533.48

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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.