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Finding the Fourth Proportional to 842.28, 1,263.60 and 409.44

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Solution

The fourth proportional to 842.28, 1,263.60 and 409.44 is: 614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.28 : 1,263.60 = 409.44 : x
  2. Step 2: Convert to fraction form
    842.28/1,263.60 = 409.44/x
  3. Step 3: Cross multiply
    842.28x = 1,263.60 × 409.44
  4. Step 4: Simplify right side
    842.28x = 517,368.38
  5. Step 5: Solve for x
    x = 517,368.38/842.28
  6. Step 6: Final answer
    x = 614.25

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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.