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Finding the Fourth Proportional to 403.86, 556.74 and 279.33

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Solution

The fourth proportional to 403.86, 556.74 and 279.33 is: 385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.86 : 556.74 = 279.33 : x
  2. Step 2: Convert to fraction form
    403.86/556.74 = 279.33/x
  3. Step 3: Cross multiply
    403.86x = 556.74 × 279.33
  4. Step 4: Simplify right side
    403.86x = 155,514.18
  5. Step 5: Solve for x
    x = 155,514.18/403.86
  6. Step 6: Final answer
    x = 385.07

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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.