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Finding the Fourth Proportional to 305.80, 429.20 and 305.80

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Solution

The fourth proportional to 305.80, 429.20 and 305.80 is: 429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.80 : 429.20 = 305.80 : x
  2. Step 2: Convert to fraction form
    305.80/429.20 = 305.80/x
  3. Step 3: Cross multiply
    305.80x = 429.20 × 305.80
  4. Step 4: Simplify right side
    305.80x = 131,249.36
  5. Step 5: Solve for x
    x = 131,249.36/305.80
  6. Step 6: Final answer
    x = 429.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.