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Finding the Fourth Proportional to 307.27, 457.52 and 305.11

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Solution

The fourth proportional to 307.27, 457.52 and 305.11 is: 454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.27 : 457.52 = 305.11 : x
  2. Step 2: Convert to fraction form
    307.27/457.52 = 305.11/x
  3. Step 3: Cross multiply
    307.27x = 457.52 × 305.11
  4. Step 4: Simplify right side
    307.27x = 139,593.93
  5. Step 5: Solve for x
    x = 139,593.93/307.27
  6. Step 6: Final answer
    x = 454.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.