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Finding the Fourth Proportional to 654.11, 981.11 and 380.03

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Solution

The fourth proportional to 654.11, 981.11 and 380.03 is: 570.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.11 : 981.11 = 380.03 : x
  2. Step 2: Convert to fraction form
    654.11/981.11 = 380.03/x
  3. Step 3: Cross multiply
    654.11x = 981.11 × 380.03
  4. Step 4: Simplify right side
    654.11x = 372,851.23
  5. Step 5: Solve for x
    x = 372,851.23/654.11
  6. Step 6: Final answer
    x = 570.01

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Why These Related Problems?

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