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Finding the Fourth Proportional to 409.40, 564.58 and 274.54

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Solution

The fourth proportional to 409.40, 564.58 and 274.54 is: 378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.40 : 564.58 = 274.54 : x
  2. Step 2: Convert to fraction form
    409.40/564.58 = 274.54/x
  3. Step 3: Cross multiply
    409.40x = 564.58 × 274.54
  4. Step 4: Simplify right side
    409.40x = 154,999.79
  5. Step 5: Solve for x
    x = 154,999.79/409.40
  6. Step 6: Final answer
    x = 378.60

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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.