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Finding the Fourth Proportional to 679.14, 936.56 and 430.50

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Solution

The fourth proportional to 679.14, 936.56 and 430.50 is: 593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.14 : 936.56 = 430.50 : x
  2. Step 2: Convert to fraction form
    679.14/936.56 = 430.50/x
  3. Step 3: Cross multiply
    679.14x = 936.56 × 430.50
  4. Step 4: Simplify right side
    679.14x = 403,189.08
  5. Step 5: Solve for x
    x = 403,189.08/679.14
  6. Step 6: Final answer
    x = 593.68

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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.