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Finding the Fourth Proportional to 703.02, 969.99 and 408.21

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Solution

The fourth proportional to 703.02, 969.99 and 408.21 is: 563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.02 : 969.99 = 408.21 : x
  2. Step 2: Convert to fraction form
    703.02/969.99 = 408.21/x
  3. Step 3: Cross multiply
    703.02x = 969.99 × 408.21
  4. Step 4: Simplify right side
    703.02x = 395,959.62
  5. Step 5: Solve for x
    x = 395,959.62/703.02
  6. Step 6: Final answer
    x = 563.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.