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Finding the Fourth Proportional to 698.30, 963.50 and 403.52

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Solution

The fourth proportional to 698.30, 963.50 and 403.52 is: 556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.30 : 963.50 = 403.52 : x
  2. Step 2: Convert to fraction form
    698.30/963.50 = 403.52/x
  3. Step 3: Cross multiply
    698.30x = 963.50 × 403.52
  4. Step 4: Simplify right side
    698.30x = 388,791.52
  5. Step 5: Solve for x
    x = 388,791.52/698.30
  6. Step 6: Final answer
    x = 556.77

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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.