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Finding the Fourth Proportional to 312.84, 433.92 and 303.96

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Solution

The fourth proportional to 312.84, 433.92 and 303.96 is: 421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 433.92 = 303.96 : x
  2. Step 2: Convert to fraction form
    312.84/433.92 = 303.96/x
  3. Step 3: Cross multiply
    312.84x = 433.92 × 303.96
  4. Step 4: Simplify right side
    312.84x = 131,894.32
  5. Step 5: Solve for x
    x = 131,894.32/312.84
  6. Step 6: Final answer
    x = 421.60

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.