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Finding the Fourth Proportional to 275.58, 410.54 and 261.54

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Solution

The fourth proportional to 275.58, 410.54 and 261.54 is: 389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.58 : 410.54 = 261.54 : x
  2. Step 2: Convert to fraction form
    275.58/410.54 = 261.54/x
  3. Step 3: Cross multiply
    275.58x = 410.54 × 261.54
  4. Step 4: Simplify right side
    275.58x = 107,371.32
  5. Step 5: Solve for x
    x = 107,371.32/275.58
  6. Step 6: Final answer
    x = 389.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.