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Finding the Fourth Proportional to 670.88, 925.82 and 408.84

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Solution

The fourth proportional to 670.88, 925.82 and 408.84 is: 564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.88 : 925.82 = 408.84 : x
  2. Step 2: Convert to fraction form
    670.88/925.82 = 408.84/x
  3. Step 3: Cross multiply
    670.88x = 925.82 × 408.84
  4. Step 4: Simplify right side
    670.88x = 378,510.20
  5. Step 5: Solve for x
    x = 378,510.20/670.88
  6. Step 6: Final answer
    x = 564.20

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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.