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Finding the Fourth Proportional to 523.36, 785.22 and 408.16

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Solution

The fourth proportional to 523.36, 785.22 and 408.16 is: 612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.36 : 785.22 = 408.16 : x
  2. Step 2: Convert to fraction form
    523.36/785.22 = 408.16/x
  3. Step 3: Cross multiply
    523.36x = 785.22 × 408.16
  4. Step 4: Simplify right side
    523.36x = 320,495.40
  5. Step 5: Solve for x
    x = 320,495.40/523.36
  6. Step 6: Final answer
    x = 612.38

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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.