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Finding the Fourth Proportional to 403.11, 556.06 and 309.71

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Solution

The fourth proportional to 403.11, 556.06 and 309.71 is: 427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.11 : 556.06 = 309.71 : x
  2. Step 2: Convert to fraction form
    403.11/556.06 = 309.71/x
  3. Step 3: Cross multiply
    403.11x = 556.06 × 309.71
  4. Step 4: Simplify right side
    403.11x = 172,217.34
  5. Step 5: Solve for x
    x = 172,217.34/403.11
  6. Step 6: Final answer
    x = 427.22

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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.