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Finding the Fourth Proportional to 461.80, 690.70 and 413.40

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Solution

The fourth proportional to 461.80, 690.70 and 413.40 is: 618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.80 : 690.70 = 413.40 : x
  2. Step 2: Convert to fraction form
    461.80/690.70 = 413.40/x
  3. Step 3: Cross multiply
    461.80x = 690.70 × 413.40
  4. Step 4: Simplify right side
    461.80x = 285,535.38
  5. Step 5: Solve for x
    x = 285,535.38/461.80
  6. Step 6: Final answer
    x = 618.31

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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.