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Finding the Fourth Proportional to 497.75, 742.43 and 445.84

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Solution

The fourth proportional to 497.75, 742.43 and 445.84 is: 665.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.75 : 742.43 = 445.84 : x
  2. Step 2: Convert to fraction form
    497.75/742.43 = 445.84/x
  3. Step 3: Cross multiply
    497.75x = 742.43 × 445.84
  4. Step 4: Simplify right side
    497.75x = 331,004.25
  5. Step 5: Solve for x
    x = 331,004.25/497.75
  6. Step 6: Final answer
    x = 665.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.