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Finding the Fourth Proportional to 697.91, 963.06 and 403.16

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Solution

The fourth proportional to 697.91, 963.06 and 403.16 is: 556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.91 : 963.06 = 403.16 : x
  2. Step 2: Convert to fraction form
    697.91/963.06 = 403.16/x
  3. Step 3: Cross multiply
    697.91x = 963.06 × 403.16
  4. Step 4: Simplify right side
    697.91x = 388,262.45
  5. Step 5: Solve for x
    x = 388,262.45/697.91
  6. Step 6: Final answer
    x = 556.33

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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.