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Finding the Fourth Proportional to 380.37, 524.99 and 233.16

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Solution

The fourth proportional to 380.37, 524.99 and 233.16 is: 321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.37 : 524.99 = 233.16 : x
  2. Step 2: Convert to fraction form
    380.37/524.99 = 233.16/x
  3. Step 3: Cross multiply
    380.37x = 524.99 × 233.16
  4. Step 4: Simplify right side
    380.37x = 122,406.67
  5. Step 5: Solve for x
    x = 122,406.67/380.37
  6. Step 6: Final answer
    x = 321.81

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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.