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Finding the Fourth Proportional to 462.81, 693.61 and 413.77

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Solution

The fourth proportional to 462.81, 693.61 and 413.77 is: 620.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.81 : 693.61 = 413.77 : x
  2. Step 2: Convert to fraction form
    462.81/693.61 = 413.77/x
  3. Step 3: Cross multiply
    462.81x = 693.61 × 413.77
  4. Step 4: Simplify right side
    462.81x = 286,995.01
  5. Step 5: Solve for x
    x = 286,995.01/462.81
  6. Step 6: Final answer
    x = 620.11

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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.