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Finding the Fourth Proportional to 446.85, 670.26 and 203.20

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Solution

The fourth proportional to 446.85, 670.26 and 203.20 is: 304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.85 : 670.26 = 203.20 : x
  2. Step 2: Convert to fraction form
    446.85/670.26 = 203.20/x
  3. Step 3: Cross multiply
    446.85x = 670.26 × 203.20
  4. Step 4: Simplify right side
    446.85x = 136,196.83
  5. Step 5: Solve for x
    x = 136,196.83/446.85
  6. Step 6: Final answer
    x = 304.79

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Why These Related Problems?

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