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Finding the Fourth Proportional to 465.02, 641.67 and 299.46

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Solution

The fourth proportional to 465.02, 641.67 and 299.46 is: 413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.02 : 641.67 = 299.46 : x
  2. Step 2: Convert to fraction form
    465.02/641.67 = 299.46/x
  3. Step 3: Cross multiply
    465.02x = 641.67 × 299.46
  4. Step 4: Simplify right side
    465.02x = 192,154.50
  5. Step 5: Solve for x
    x = 192,154.50/465.02
  6. Step 6: Final answer
    x = 413.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.