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Finding the Fourth Proportional to 304.17, 455.34 and 255.17

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Solution

The fourth proportional to 304.17, 455.34 and 255.17 is: 381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.17 : 455.34 = 255.17 : x
  2. Step 2: Convert to fraction form
    304.17/455.34 = 255.17/x
  3. Step 3: Cross multiply
    304.17x = 455.34 × 255.17
  4. Step 4: Simplify right side
    304.17x = 116,186.83
  5. Step 5: Solve for x
    x = 116,186.83/304.17
  6. Step 6: Final answer
    x = 381.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.