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Finding the Fourth Proportional to 497.40, 745.46 and 382.84

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Solution

The fourth proportional to 497.40, 745.46 and 382.84 is: 573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.40 : 745.46 = 382.84 : x
  2. Step 2: Convert to fraction form
    497.40/745.46 = 382.84/x
  3. Step 3: Cross multiply
    497.40x = 745.46 × 382.84
  4. Step 4: Simplify right side
    497.40x = 285,391.91
  5. Step 5: Solve for x
    x = 285,391.91/497.40
  6. Step 6: Final answer
    x = 573.77

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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.