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Finding the Fourth Proportional to 461.98, 693.69 and 288.91

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Solution

The fourth proportional to 461.98, 693.69 and 288.91 is: 433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.98 : 693.69 = 288.91 : x
  2. Step 2: Convert to fraction form
    461.98/693.69 = 288.91/x
  3. Step 3: Cross multiply
    461.98x = 693.69 × 288.91
  4. Step 4: Simplify right side
    461.98x = 200,413.98
  5. Step 5: Solve for x
    x = 200,413.98/461.98
  6. Step 6: Final answer
    x = 433.82

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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.