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Finding the Fourth Proportional to 697.92, 963.06 and 403.20

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Solution

The fourth proportional to 697.92, 963.06 and 403.20 is: 556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.92 : 963.06 = 403.20 : x
  2. Step 2: Convert to fraction form
    697.92/963.06 = 403.20/x
  3. Step 3: Cross multiply
    697.92x = 963.06 × 403.20
  4. Step 4: Simplify right side
    697.92x = 388,305.79
  5. Step 5: Solve for x
    x = 388,305.79/697.92
  6. Step 6: Final answer
    x = 556.38

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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.