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Finding the Fourth Proportional to 497.07, 744.27 and 323.22

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Solution

The fourth proportional to 497.07, 744.27 and 323.22 is: 483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.07 : 744.27 = 323.22 : x
  2. Step 2: Convert to fraction form
    497.07/744.27 = 323.22/x
  3. Step 3: Cross multiply
    497.07x = 744.27 × 323.22
  4. Step 4: Simplify right side
    497.07x = 240,562.95
  5. Step 5: Solve for x
    x = 240,562.95/497.07
  6. Step 6: Final answer
    x = 483.96

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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.