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Finding the Fourth Proportional to 427.36, 590.19 and 354.46

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Solution

The fourth proportional to 427.36, 590.19 and 354.46 is: 489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.36 : 590.19 = 354.46 : x
  2. Step 2: Convert to fraction form
    427.36/590.19 = 354.46/x
  3. Step 3: Cross multiply
    427.36x = 590.19 × 354.46
  4. Step 4: Simplify right side
    427.36x = 209,198.75
  5. Step 5: Solve for x
    x = 209,198.75/427.36
  6. Step 6: Final answer
    x = 489.51

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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.