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Finding the Fourth Proportional to 305.77, 457.99 and 190.24

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Solution

The fourth proportional to 305.77, 457.99 and 190.24 is: 284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.77 : 457.99 = 190.24 : x
  2. Step 2: Convert to fraction form
    305.77/457.99 = 190.24/x
  3. Step 3: Cross multiply
    305.77x = 457.99 × 190.24
  4. Step 4: Simplify right side
    305.77x = 87,128.02
  5. Step 5: Solve for x
    x = 87,128.02/305.77
  6. Step 6: Final answer
    x = 284.95

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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.