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Finding the Fourth Proportional to 670.54, 925.42 and 375.88

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Solution

The fourth proportional to 670.54, 925.42 and 375.88 is: 518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.54 : 925.42 = 375.88 : x
  2. Step 2: Convert to fraction form
    670.54/925.42 = 375.88/x
  3. Step 3: Cross multiply
    670.54x = 925.42 × 375.88
  4. Step 4: Simplify right side
    670.54x = 347,846.87
  5. Step 5: Solve for x
    x = 347,846.87/670.54
  6. Step 6: Final answer
    x = 518.76

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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.