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Finding the Fourth Proportional to 380.90, 525.79 and 233.74

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Solution

The fourth proportional to 380.90, 525.79 and 233.74 is: 322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.90 : 525.79 = 233.74 : x
  2. Step 2: Convert to fraction form
    380.90/525.79 = 233.74/x
  3. Step 3: Cross multiply
    380.90x = 525.79 × 233.74
  4. Step 4: Simplify right side
    380.90x = 122,896.15
  5. Step 5: Solve for x
    x = 122,896.15/380.90
  6. Step 6: Final answer
    x = 322.64

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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.