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Finding the Fourth Proportional to 380.66, 525.42 and 233.30

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Solution

The fourth proportional to 380.66, 525.42 and 233.30 is: 322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.66 : 525.42 = 233.30 : x
  2. Step 2: Convert to fraction form
    380.66/525.42 = 233.30/x
  3. Step 3: Cross multiply
    380.66x = 525.42 × 233.30
  4. Step 4: Simplify right side
    380.66x = 122,580.49
  5. Step 5: Solve for x
    x = 122,580.49/380.66
  6. Step 6: Final answer
    x = 322.02

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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.