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Finding the Fourth Proportional to 403.05, 556.47 and 309.62

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Solution

The fourth proportional to 403.05, 556.47 and 309.62 is: 427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.05 : 556.47 = 309.62 : x
  2. Step 2: Convert to fraction form
    403.05/556.47 = 309.62/x
  3. Step 3: Cross multiply
    403.05x = 556.47 × 309.62
  4. Step 4: Simplify right side
    403.05x = 172,295.63
  5. Step 5: Solve for x
    x = 172,295.63/403.05
  6. Step 6: Final answer
    x = 427.48

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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.