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Finding the Fourth Proportional to 292.01, 401.26 and 233.69

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Solution

The fourth proportional to 292.01, 401.26 and 233.69 is: 321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.01 : 401.26 = 233.69 : x
  2. Step 2: Convert to fraction form
    292.01/401.26 = 233.69/x
  3. Step 3: Cross multiply
    292.01x = 401.26 × 233.69
  4. Step 4: Simplify right side
    292.01x = 93,770.45
  5. Step 5: Solve for x
    x = 93,770.45/292.01
  6. Step 6: Final answer
    x = 321.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.