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Finding the Fourth Proportional to 670.94, 925.78 and 376.22

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Solution

The fourth proportional to 670.94, 925.78 and 376.22 is: 519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.94 : 925.78 = 376.22 : x
  2. Step 2: Convert to fraction form
    670.94/925.78 = 376.22/x
  3. Step 3: Cross multiply
    670.94x = 925.78 × 376.22
  4. Step 4: Simplify right side
    670.94x = 348,296.95
  5. Step 5: Solve for x
    x = 348,296.95/670.94
  6. Step 6: Final answer
    x = 519.12

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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.