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Finding the Fourth Proportional to 383.15, 528.17 and 299.99

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Solution

The fourth proportional to 383.15, 528.17 and 299.99 is: 413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.15 : 528.17 = 299.99 : x
  2. Step 2: Convert to fraction form
    383.15/528.17 = 299.99/x
  3. Step 3: Cross multiply
    383.15x = 528.17 × 299.99
  4. Step 4: Simplify right side
    383.15x = 158,441.58
  5. Step 5: Solve for x
    x = 158,441.58/383.15
  6. Step 6: Final answer
    x = 413.53

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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.