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Finding the Fourth Proportional to 670.36, 925.26 and 408.52

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Solution

The fourth proportional to 670.36, 925.26 and 408.52 is: 563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.36 : 925.26 = 408.52 : x
  2. Step 2: Convert to fraction form
    670.36/925.26 = 408.52/x
  3. Step 3: Cross multiply
    670.36x = 925.26 × 408.52
  4. Step 4: Simplify right side
    670.36x = 377,987.22
  5. Step 5: Solve for x
    x = 377,987.22/670.36
  6. Step 6: Final answer
    x = 563.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.