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Finding the Fourth Proportional to 305.96, 421.98 and 277.16

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Solution

The fourth proportional to 305.96, 421.98 and 277.16 is: 382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.96 : 421.98 = 277.16 : x
  2. Step 2: Convert to fraction form
    305.96/421.98 = 277.16/x
  3. Step 3: Cross multiply
    305.96x = 421.98 × 277.16
  4. Step 4: Simplify right side
    305.96x = 116,955.98
  5. Step 5: Solve for x
    x = 116,955.98/305.96
  6. Step 6: Final answer
    x = 382.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.