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Finding the Fourth Proportional to 305.40, 457.41 and 298.56

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Solution

The fourth proportional to 305.40, 457.41 and 298.56 is: 447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.40 : 457.41 = 298.56 : x
  2. Step 2: Convert to fraction form
    305.40/457.41 = 298.56/x
  3. Step 3: Cross multiply
    305.40x = 457.41 × 298.56
  4. Step 4: Simplify right side
    305.40x = 136,564.33
  5. Step 5: Solve for x
    x = 136,564.33/305.40
  6. Step 6: Final answer
    x = 447.17

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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.