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Finding the Fourth Proportional to 670.74, 925.68 and 408.90

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Solution

The fourth proportional to 670.74, 925.68 and 408.90 is: 564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.74 : 925.68 = 408.90 : x
  2. Step 2: Convert to fraction form
    670.74/925.68 = 408.90/x
  3. Step 3: Cross multiply
    670.74x = 925.68 × 408.90
  4. Step 4: Simplify right side
    670.74x = 378,510.55
  5. Step 5: Solve for x
    x = 378,510.55/670.74
  6. Step 6: Final answer
    x = 564.32

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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.