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Finding the Fourth Proportional to 670.85, 925.93 and 408.81

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Solution

The fourth proportional to 670.85, 925.93 and 408.81 is: 564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.85 : 925.93 = 408.81 : x
  2. Step 2: Convert to fraction form
    670.85/925.93 = 408.81/x
  3. Step 3: Cross multiply
    670.85x = 925.93 × 408.81
  4. Step 4: Simplify right side
    670.85x = 378,529.44
  5. Step 5: Solve for x
    x = 378,529.44/670.85
  6. Step 6: Final answer
    x = 564.25

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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.