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Finding the Fourth Proportional to 285.74, 428.12 and 204.18

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Solution

The fourth proportional to 285.74, 428.12 and 204.18 is: 305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.74 : 428.12 = 204.18 : x
  2. Step 2: Convert to fraction form
    285.74/428.12 = 204.18/x
  3. Step 3: Cross multiply
    285.74x = 428.12 × 204.18
  4. Step 4: Simplify right side
    285.74x = 87,413.54
  5. Step 5: Solve for x
    x = 87,413.54/285.74
  6. Step 6: Final answer
    x = 305.92

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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.