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Finding the Fourth Proportional to 304.86, 421.43 and 277.86

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Solution

The fourth proportional to 304.86, 421.43 and 277.86 is: 384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.86 : 421.43 = 277.86 : x
  2. Step 2: Convert to fraction form
    304.86/421.43 = 277.86/x
  3. Step 3: Cross multiply
    304.86x = 421.43 × 277.86
  4. Step 4: Simplify right side
    304.86x = 117,097.15
  5. Step 5: Solve for x
    x = 117,097.15/304.86
  6. Step 6: Final answer
    x = 384.10

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