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Finding the Fourth Proportional to 305.79, 455.22 and 304.17

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Solution

The fourth proportional to 305.79, 455.22 and 304.17 is: 452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.79 : 455.22 = 304.17 : x
  2. Step 2: Convert to fraction form
    305.79/455.22 = 304.17/x
  3. Step 3: Cross multiply
    305.79x = 455.22 × 304.17
  4. Step 4: Simplify right side
    305.79x = 138,464.27
  5. Step 5: Solve for x
    x = 138,464.27/305.79
  6. Step 6: Final answer
    x = 452.81

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Why These Related Problems?

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