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Finding the Fourth Proportional to 413.10, 620.01 and 230.67

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Solution

The fourth proportional to 413.10, 620.01 and 230.67 is: 346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.10 : 620.01 = 230.67 : x
  2. Step 2: Convert to fraction form
    413.10/620.01 = 230.67/x
  3. Step 3: Cross multiply
    413.10x = 620.01 × 230.67
  4. Step 4: Simplify right side
    413.10x = 143,017.71
  5. Step 5: Solve for x
    x = 143,017.71/413.10
  6. Step 6: Final answer
    x = 346.21

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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.