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Finding the Fourth Proportional to 653.23, 979.16 and 406.44

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Solution

The fourth proportional to 653.23, 979.16 and 406.44 is: 609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.23 : 979.16 = 406.44 : x
  2. Step 2: Convert to fraction form
    653.23/979.16 = 406.44/x
  3. Step 3: Cross multiply
    653.23x = 979.16 × 406.44
  4. Step 4: Simplify right side
    653.23x = 397,969.79
  5. Step 5: Solve for x
    x = 397,969.79/653.23
  6. Step 6: Final answer
    x = 609.23

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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.