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Finding the Fourth Proportional to 358.08, 494.40 and 254.88

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Solution

The fourth proportional to 358.08, 494.40 and 254.88 is: 351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.08 : 494.40 = 254.88 : x
  2. Step 2: Convert to fraction form
    358.08/494.40 = 254.88/x
  3. Step 3: Cross multiply
    358.08x = 494.40 × 254.88
  4. Step 4: Simplify right side
    358.08x = 126,012.67
  5. Step 5: Solve for x
    x = 126,012.67/358.08
  6. Step 6: Final answer
    x = 351.91

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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.