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Finding the Fourth Proportional to 377.36, 520.84 and 230

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Solution

The fourth proportional to 377.36, 520.84 and 230 is: 317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.36 : 520.84 = 230 : x
  2. Step 2: Convert to fraction form
    377.36/520.84 = 230/x
  3. Step 3: Cross multiply
    377.36x = 520.84 × 230
  4. Step 4: Simplify right side
    377.36x = 119,793.20
  5. Step 5: Solve for x
    x = 119,793.20/377.36
  6. Step 6: Final answer
    x = 317.45

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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.