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Finding the Fourth Proportional to 380.23, 524.57 and 230.72

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Solution

The fourth proportional to 380.23, 524.57 and 230.72 is: 318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.23 : 524.57 = 230.72 : x
  2. Step 2: Convert to fraction form
    380.23/524.57 = 230.72/x
  3. Step 3: Cross multiply
    380.23x = 524.57 × 230.72
  4. Step 4: Simplify right side
    380.23x = 121,025.01
  5. Step 5: Solve for x
    x = 121,025.01/380.23
  6. Step 6: Final answer
    x = 318.30

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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.