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Finding the Fourth Proportional to 380.85, 525.54 and 233.46

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Solution

The fourth proportional to 380.85, 525.54 and 233.46 is: 322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.85 : 525.54 = 233.46 : x
  2. Step 2: Convert to fraction form
    380.85/525.54 = 233.46/x
  3. Step 3: Cross multiply
    380.85x = 525.54 × 233.46
  4. Step 4: Simplify right side
    380.85x = 122,692.57
  5. Step 5: Solve for x
    x = 122,692.57/380.85
  6. Step 6: Final answer
    x = 322.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.