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Finding the Fourth Proportional to 697.94, 963.14 and 383.22

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Solution

The fourth proportional to 697.94, 963.14 and 383.22 is: 528.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.94 : 963.14 = 383.22 : x
  2. Step 2: Convert to fraction form
    697.94/963.14 = 383.22/x
  3. Step 3: Cross multiply
    697.94x = 963.14 × 383.22
  4. Step 4: Simplify right side
    697.94x = 369,094.51
  5. Step 5: Solve for x
    x = 369,094.51/697.94
  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.