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Finding the Fourth Proportional to 698.02, 963.27 and 403.23

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Solution

The fourth proportional to 698.02, 963.27 and 403.23 is: 556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.02 : 963.27 = 403.23 : x
  2. Step 2: Convert to fraction form
    698.02/963.27 = 403.23/x
  3. Step 3: Cross multiply
    698.02x = 963.27 × 403.23
  4. Step 4: Simplify right side
    698.02x = 388,419.36
  5. Step 5: Solve for x
    x = 388,419.36/698.02
  6. Step 6: Final answer
    x = 556.46

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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.