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Finding the Fourth Proportional to 653.44, 979.32 and 379.39

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Solution

The fourth proportional to 653.44, 979.32 and 379.39 is: 568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.44 : 979.32 = 379.39 : x
  2. Step 2: Convert to fraction form
    653.44/979.32 = 379.39/x
  3. Step 3: Cross multiply
    653.44x = 979.32 × 379.39
  4. Step 4: Simplify right side
    653.44x = 371,544.21
  5. Step 5: Solve for x
    x = 371,544.21/653.44
  6. Step 6: Final answer
    x = 568.60

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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.