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Finding the Fourth Proportional to 305.12, 456.90 and 303.26

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Solution

The fourth proportional to 305.12, 456.90 and 303.26 is: 454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.12 : 456.90 = 303.26 : x
  2. Step 2: Convert to fraction form
    305.12/456.90 = 303.26/x
  3. Step 3: Cross multiply
    305.12x = 456.90 × 303.26
  4. Step 4: Simplify right side
    305.12x = 138,559.49
  5. Step 5: Solve for x
    x = 138,559.49/305.12
  6. Step 6: Final answer
    x = 454.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.