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Finding the Fourth Proportional to 653.97, 981 and 380.37

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Solution

The fourth proportional to 653.97, 981 and 380.37 is: 570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.97 : 981 = 380.37 : x
  2. Step 2: Convert to fraction form
    653.97/981 = 380.37/x
  3. Step 3: Cross multiply
    653.97x = 981 × 380.37
  4. Step 4: Simplify right side
    653.97x = 373,142.97
  5. Step 5: Solve for x
    x = 373,142.97/653.97
  6. Step 6: Final answer
    x = 570.58

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Double scale
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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.