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Finding the Fourth Proportional to 313.08, 429.39 and 305.88

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Solution

The fourth proportional to 313.08, 429.39 and 305.88 is: 419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.08 : 429.39 = 305.88 : x
  2. Step 2: Convert to fraction form
    313.08/429.39 = 305.88/x
  3. Step 3: Cross multiply
    313.08x = 429.39 × 305.88
  4. Step 4: Simplify right side
    313.08x = 131,341.81
  5. Step 5: Solve for x
    x = 131,341.81/313.08
  6. Step 6: Final answer
    x = 419.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.