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Finding the Fourth Proportional to 697.98, 963.18 and 383.25

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Solution

The fourth proportional to 697.98, 963.18 and 383.25 is: 528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.98 : 963.18 = 383.25 : x
  2. Step 2: Convert to fraction form
    697.98/963.18 = 383.25/x
  3. Step 3: Cross multiply
    697.98x = 963.18 × 383.25
  4. Step 4: Simplify right side
    697.98x = 369,138.74
  5. Step 5: Solve for x
    x = 369,138.74/697.98
  6. Step 6: Final answer
    x = 528.87

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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.