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Finding the Fourth Proportional to 383.94, 575.82 and 237.60

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Solution

The fourth proportional to 383.94, 575.82 and 237.60 is: 356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.94 : 575.82 = 237.60 : x
  2. Step 2: Convert to fraction form
    383.94/575.82 = 237.60/x
  3. Step 3: Cross multiply
    383.94x = 575.82 × 237.60
  4. Step 4: Simplify right side
    383.94x = 136,814.83
  5. Step 5: Solve for x
    x = 136,814.83/383.94
  6. Step 6: Final answer
    x = 356.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.