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Finding the Fourth Proportional to 305.92, 456.35 and 277.96

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Solution

The fourth proportional to 305.92, 456.35 and 277.96 is: 414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.92 : 456.35 = 277.96 : x
  2. Step 2: Convert to fraction form
    305.92/456.35 = 277.96/x
  3. Step 3: Cross multiply
    305.92x = 456.35 × 277.96
  4. Step 4: Simplify right side
    305.92x = 126,847.05
  5. Step 5: Solve for x
    x = 126,847.05/305.92
  6. Step 6: Final answer
    x = 414.64

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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.