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Finding the Fourth Proportional to 698.09, 963.46 and 403.45

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Solution

The fourth proportional to 698.09, 963.46 and 403.45 is: 556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.09 : 963.46 = 403.45 : x
  2. Step 2: Convert to fraction form
    698.09/963.46 = 403.45/x
  3. Step 3: Cross multiply
    698.09x = 963.46 × 403.45
  4. Step 4: Simplify right side
    698.09x = 388,706.03
  5. Step 5: Solve for x
    x = 388,706.03/698.09
  6. Step 6: Final answer
    x = 556.82

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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.