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Finding the Fourth Proportional to 653.26, 979.67 and 263.16

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Solution

The fourth proportional to 653.26, 979.67 and 263.16 is: 394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.26 : 979.67 = 263.16 : x
  2. Step 2: Convert to fraction form
    653.26/979.67 = 263.16/x
  3. Step 3: Cross multiply
    653.26x = 979.67 × 263.16
  4. Step 4: Simplify right side
    653.26x = 257,809.38
  5. Step 5: Solve for x
    x = 257,809.38/653.26
  6. Step 6: Final answer
    x = 394.65

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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.