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Finding the Fourth Proportional to 842.58, 1,263.96 and 355.68

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Solution

The fourth proportional to 842.58, 1,263.96 and 355.68 is: 533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.58 : 1,263.96 = 355.68 : x
  2. Step 2: Convert to fraction form
    842.58/1,263.96 = 355.68/x
  3. Step 3: Cross multiply
    842.58x = 1,263.96 × 355.68
  4. Step 4: Simplify right side
    842.58x = 449,565.29
  5. Step 5: Solve for x
    x = 449,565.29/842.58
  6. Step 6: Final answer
    x = 533.56

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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.