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Finding the Fourth Proportional to 497.01, 685.77 and 378.96

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Solution

The fourth proportional to 497.01, 685.77 and 378.96 is: 522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.01 : 685.77 = 378.96 : x
  2. Step 2: Convert to fraction form
    497.01/685.77 = 378.96/x
  3. Step 3: Cross multiply
    497.01x = 685.77 × 378.96
  4. Step 4: Simplify right side
    497.01x = 259,879.40
  5. Step 5: Solve for x
    x = 259,879.40/497.01
  6. Step 6: Final answer
    x = 522.89

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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.