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Finding the Fourth Proportional to 698.02, 963.24 and 403.38

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Solution

The fourth proportional to 698.02, 963.24 and 403.38 is: 556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.02 : 963.24 = 403.38 : x
  2. Step 2: Convert to fraction form
    698.02/963.24 = 403.38/x
  3. Step 3: Cross multiply
    698.02x = 963.24 × 403.38
  4. Step 4: Simplify right side
    698.02x = 388,551.75
  5. Step 5: Solve for x
    x = 388,551.75/698.02
  6. Step 6: Final answer
    x = 556.65

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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.