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Finding the Fourth Proportional to 380.24, 524.76 and 232.88

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Solution

The fourth proportional to 380.24, 524.76 and 232.88 is: 321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.24 : 524.76 = 232.88 : x
  2. Step 2: Convert to fraction form
    380.24/524.76 = 232.88/x
  3. Step 3: Cross multiply
    380.24x = 524.76 × 232.88
  4. Step 4: Simplify right side
    380.24x = 122,206.11
  5. Step 5: Solve for x
    x = 122,206.11/380.24
  6. Step 6: Final answer
    x = 321.39

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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.