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Finding the Fourth Proportional to 357.03, 491.27 and 347.97

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Solution

The fourth proportional to 357.03, 491.27 and 347.97 is: 478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.03 : 491.27 = 347.97 : x
  2. Step 2: Convert to fraction form
    357.03/491.27 = 347.97/x
  3. Step 3: Cross multiply
    357.03x = 491.27 × 347.97
  4. Step 4: Simplify right side
    357.03x = 170,945.48
  5. Step 5: Solve for x
    x = 170,945.48/357.03
  6. Step 6: Final answer
    x = 478.80

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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.