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Finding the Fourth Proportional to 842.54, 1,264.28 and 355.64

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Solution

The fourth proportional to 842.54, 1,264.28 and 355.64 is: 533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.54 : 1,264.28 = 355.64 : x
  2. Step 2: Convert to fraction form
    842.54/1,264.28 = 355.64/x
  3. Step 3: Cross multiply
    842.54x = 1,264.28 × 355.64
  4. Step 4: Simplify right side
    842.54x = 449,620.44
  5. Step 5: Solve for x
    x = 449,620.44/842.54
  6. Step 6: Final answer
    x = 533.65

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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.