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Finding the Fourth Proportional to 497.31, 745.71 and 219.75

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Solution

The fourth proportional to 497.31, 745.71 and 219.75 is: 329.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.31 : 745.71 = 219.75 : x
  2. Step 2: Convert to fraction form
    497.31/745.71 = 219.75/x
  3. Step 3: Cross multiply
    497.31x = 745.71 × 219.75
  4. Step 4: Simplify right side
    497.31x = 163,869.77
  5. Step 5: Solve for x
    x = 163,869.77/497.31
  6. Step 6: Final answer
    x = 329.51

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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.