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Finding the Fourth Proportional to 698.00, 963.20 and 383.23

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Solution

The fourth proportional to 698.00, 963.20 and 383.23 is: 528.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.00 : 963.20 = 383.23 : x
  2. Step 2: Convert to fraction form
    698.00/963.20 = 383.23/x
  3. Step 3: Cross multiply
    698.00x = 963.20 × 383.23
  4. Step 4: Simplify right side
    698.00x = 369,125.69
  5. Step 5: Solve for x
    x = 369,125.69/698.00
  6. Step 6: Final answer
    x = 528.83

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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.