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Finding the Fourth Proportional to 660.47, 911.46 and 380.75

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Solution

The fourth proportional to 660.47, 911.46 and 380.75 is: 525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.47 : 911.46 = 380.75 : x
  2. Step 2: Convert to fraction form
    660.47/911.46 = 380.75/x
  3. Step 3: Cross multiply
    660.47x = 911.46 × 380.75
  4. Step 4: Simplify right side
    660.47x = 347,038.40
  5. Step 5: Solve for x
    x = 347,038.40/660.47
  6. Step 6: Final answer
    x = 525.44

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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.