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Finding the Fourth Proportional to 275.37, 411.73 and 237.30

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Solution

The fourth proportional to 275.37, 411.73 and 237.30 is: 354.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.37 : 411.73 = 237.30 : x
  2. Step 2: Convert to fraction form
    275.37/411.73 = 237.30/x
  3. Step 3: Cross multiply
    275.37x = 411.73 × 237.30
  4. Step 4: Simplify right side
    275.37x = 97,703.53
  5. Step 5: Solve for x
    x = 97,703.53/275.37
  6. Step 6: Final answer
    x = 354.81

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