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Finding the Fourth Proportional to 670.97, 925.88 and 408.93

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Solution

The fourth proportional to 670.97, 925.88 and 408.93 is: 564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.97 : 925.88 = 408.93 : x
  2. Step 2: Convert to fraction form
    670.97/925.88 = 408.93/x
  3. Step 3: Cross multiply
    670.97x = 925.88 × 408.93
  4. Step 4: Simplify right side
    670.97x = 378,618.06
  5. Step 5: Solve for x
    x = 378,618.06/670.97
  6. Step 6: Final answer
    x = 564.29

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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.