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Finding the Fourth Proportional to 670.78, 925.67 and 376.04

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Solution

The fourth proportional to 670.78, 925.67 and 376.04 is: 518.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.78 : 925.67 = 376.04 : x
  2. Step 2: Convert to fraction form
    670.78/925.67 = 376.04/x
  3. Step 3: Cross multiply
    670.78x = 925.67 × 376.04
  4. Step 4: Simplify right side
    670.78x = 348,092.42
  5. Step 5: Solve for x
    x = 348,092.42/670.78
  6. Step 6: Final answer
    x = 518.94

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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.