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Finding the Fourth Proportional to 380.29, 524.89 and 233.01

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Solution

The fourth proportional to 380.29, 524.89 and 233.01 is: 321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.29 : 524.89 = 233.01 : x
  2. Step 2: Convert to fraction form
    380.29/524.89 = 233.01/x
  3. Step 3: Cross multiply
    380.29x = 524.89 × 233.01
  4. Step 4: Simplify right side
    380.29x = 122,301.99
  5. Step 5: Solve for x
    x = 122,301.99/380.29
  6. Step 6: Final answer
    x = 321.60

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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.