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Finding the Fourth Proportional to 670.75, 925.80 and 408.98

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Solution

The fourth proportional to 670.75, 925.80 and 408.98 is: 564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.75 : 925.80 = 408.98 : x
  2. Step 2: Convert to fraction form
    670.75/925.80 = 408.98/x
  3. Step 3: Cross multiply
    670.75x = 925.80 × 408.98
  4. Step 4: Simplify right side
    670.75x = 378,634.46
  5. Step 5: Solve for x
    x = 378,634.46/670.75
  6. Step 6: Final answer
    x = 564.50

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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.