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Finding the Fourth Proportional to 358.26, 493.74 and 275.04

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Solution

The fourth proportional to 358.26, 493.74 and 275.04 is: 379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.26 : 493.74 = 275.04 : x
  2. Step 2: Convert to fraction form
    358.26/493.74 = 275.04/x
  3. Step 3: Cross multiply
    358.26x = 493.74 × 275.04
  4. Step 4: Simplify right side
    358.26x = 135,798.25
  5. Step 5: Solve for x
    x = 135,798.25/358.26
  6. Step 6: Final answer
    x = 379.05

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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.