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Finding the Fourth Proportional to 497.12, 744.26 and 265.48

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Solution

The fourth proportional to 497.12, 744.26 and 265.48 is: 397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.12 : 744.26 = 265.48 : x
  2. Step 2: Convert to fraction form
    497.12/744.26 = 265.48/x
  3. Step 3: Cross multiply
    497.12x = 744.26 × 265.48
  4. Step 4: Simplify right side
    497.12x = 197,586.14
  5. Step 5: Solve for x
    x = 197,586.14/497.12
  6. Step 6: Final answer
    x = 397.46

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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.