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Finding the Fourth Proportional to 460.10, 690.15 and 413.70

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Solution

The fourth proportional to 460.10, 690.15 and 413.70 is: 620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.10 : 690.15 = 413.70 : x
  2. Step 2: Convert to fraction form
    460.10/690.15 = 413.70/x
  3. Step 3: Cross multiply
    460.10x = 690.15 × 413.70
  4. Step 4: Simplify right side
    460.10x = 285,515.06
  5. Step 5: Solve for x
    x = 285,515.06/460.10
  6. Step 6: Final answer
    x = 620.55

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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.