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Finding the Fourth Proportional to 821.40, 1,232.16 and 244.28

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Solution

The fourth proportional to 821.40, 1,232.16 and 244.28 is: 366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.40 : 1,232.16 = 244.28 : x
  2. Step 2: Convert to fraction form
    821.40/1,232.16 = 244.28/x
  3. Step 3: Cross multiply
    821.40x = 1,232.16 × 244.28
  4. Step 4: Simplify right side
    821.40x = 300,992.04
  5. Step 5: Solve for x
    x = 300,992.04/821.40
  6. Step 6: Final answer
    x = 366.44

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1.5x scale

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.