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Finding the Fourth Proportional to 654.57, 981.53 and 380.74

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Solution

The fourth proportional to 654.57, 981.53 and 380.74 is: 570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.57 : 981.53 = 380.74 : x
  2. Step 2: Convert to fraction form
    654.57/981.53 = 380.74/x
  3. Step 3: Cross multiply
    654.57x = 981.53 × 380.74
  4. Step 4: Simplify right side
    654.57x = 373,707.73
  5. Step 5: Solve for x
    x = 373,707.73/654.57
  6. Step 6: Final answer
    x = 570.92

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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.