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Finding the Fourth Proportional to 423.40, 634.16 and 413.06

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Solution

The fourth proportional to 423.40, 634.16 and 413.06 is: 618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.40 : 634.16 = 413.06 : x
  2. Step 2: Convert to fraction form
    423.40/634.16 = 413.06/x
  3. Step 3: Cross multiply
    423.40x = 634.16 × 413.06
  4. Step 4: Simplify right side
    423.40x = 261,946.13
  5. Step 5: Solve for x
    x = 261,946.13/423.40
  6. Step 6: Final answer
    x = 618.67

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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.