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Finding the Fourth Proportional to 670.72, 925.54 and 408.82

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Solution

The fourth proportional to 670.72, 925.54 and 408.82 is: 564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.72 : 925.54 = 408.82 : x
  2. Step 2: Convert to fraction form
    670.72/925.54 = 408.82/x
  3. Step 3: Cross multiply
    670.72x = 925.54 × 408.82
  4. Step 4: Simplify right side
    670.72x = 378,379.26
  5. Step 5: Solve for x
    x = 378,379.26/670.72
  6. Step 6: Final answer
    x = 564.14

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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.