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Finding the Fourth Proportional to 403.56, 556.74 and 263.63

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Solution

The fourth proportional to 403.56, 556.74 and 263.63 is: 363.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.56 : 556.74 = 263.63 : x
  2. Step 2: Convert to fraction form
    403.56/556.74 = 263.63/x
  3. Step 3: Cross multiply
    403.56x = 556.74 × 263.63
  4. Step 4: Simplify right side
    403.56x = 146,770.58
  5. Step 5: Solve for x
    x = 146,770.58/403.56
  6. Step 6: Final answer
    x = 363.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.