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Finding the Fourth Proportional to 403.25, 556.13 and 298.49

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Solution

The fourth proportional to 403.25, 556.13 and 298.49 is: 411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.25 : 556.13 = 298.49 : x
  2. Step 2: Convert to fraction form
    403.25/556.13 = 298.49/x
  3. Step 3: Cross multiply
    403.25x = 556.13 × 298.49
  4. Step 4: Simplify right side
    403.25x = 165,996.46
  5. Step 5: Solve for x
    x = 165,996.46/403.25
  6. Step 6: Final answer
    x = 411.65

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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.