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Finding the Fourth Proportional to 497.32, 745.49 and 204.78

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Solution

The fourth proportional to 497.32, 745.49 and 204.78 is: 306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.32 : 745.49 = 204.78 : x
  2. Step 2: Convert to fraction form
    497.32/745.49 = 204.78/x
  3. Step 3: Cross multiply
    497.32x = 745.49 × 204.78
  4. Step 4: Simplify right side
    497.32x = 152,656.69
  5. Step 5: Solve for x
    x = 152,656.69/497.32
  6. Step 6: Final answer
    x = 306.96

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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.