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Finding the Fourth Proportional to 380.37, 524.94 and 233.07

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Solution

The fourth proportional to 380.37, 524.94 and 233.07 is: 321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.37 : 524.94 = 233.07 : x
  2. Step 2: Convert to fraction form
    380.37/524.94 = 233.07/x
  3. Step 3: Cross multiply
    380.37x = 524.94 × 233.07
  4. Step 4: Simplify right side
    380.37x = 122,347.77
  5. Step 5: Solve for x
    x = 122,347.77/380.37
  6. Step 6: Final answer
    x = 321.65

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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.