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Finding the Fourth Proportional to 654.52, 982.36 and 380.24

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Solution

The fourth proportional to 654.52, 982.36 and 380.24 is: 570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.52 : 982.36 = 380.24 : x
  2. Step 2: Convert to fraction form
    654.52/982.36 = 380.24/x
  3. Step 3: Cross multiply
    654.52x = 982.36 × 380.24
  4. Step 4: Simplify right side
    654.52x = 373,532.57
  5. Step 5: Solve for x
    x = 373,532.57/654.52
  6. Step 6: Final answer
    x = 570.70

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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.