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Finding the Fourth Proportional to 679.25, 937.41 and 430.76

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Solution

The fourth proportional to 679.25, 937.41 and 430.76 is: 594.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.25 : 937.41 = 430.76 : x
  2. Step 2: Convert to fraction form
    679.25/937.41 = 430.76/x
  3. Step 3: Cross multiply
    679.25x = 937.41 × 430.76
  4. Step 4: Simplify right side
    679.25x = 403,794.04
  5. Step 5: Solve for x
    x = 403,794.04/679.25
  6. Step 6: Final answer
    x = 594.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.