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Finding the Fourth Proportional to 842.91, 1,264.46 and 356.01

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Solution

The fourth proportional to 842.91, 1,264.46 and 356.01 is: 534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.91 : 1,264.46 = 356.01 : x
  2. Step 2: Convert to fraction form
    842.91/1,264.46 = 356.01/x
  3. Step 3: Cross multiply
    842.91x = 1,264.46 × 356.01
  4. Step 4: Simplify right side
    842.91x = 450,158.62
  5. Step 5: Solve for x
    x = 450,158.62/842.91
  6. Step 6: Final answer
    x = 534.05

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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.