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Finding the Fourth Proportional to 698.33, 963.35 and 403.42

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Solution

The fourth proportional to 698.33, 963.35 and 403.42 is: 556.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.33 : 963.35 = 403.42 : x
  2. Step 2: Convert to fraction form
    698.33/963.35 = 403.42/x
  3. Step 3: Cross multiply
    698.33x = 963.35 × 403.42
  4. Step 4: Simplify right side
    698.33x = 388,634.66
  5. Step 5: Solve for x
    x = 388,634.66/698.33
  6. Step 6: Final answer
    x = 556.52

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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.