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Finding the Fourth Proportional to 679.54, 937.42 and 430.68

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Solution

The fourth proportional to 679.54, 937.42 and 430.68 is: 594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.54 : 937.42 = 430.68 : x
  2. Step 2: Convert to fraction form
    679.54/937.42 = 430.68/x
  3. Step 3: Cross multiply
    679.54x = 937.42 × 430.68
  4. Step 4: Simplify right side
    679.54x = 403,728.05
  5. Step 5: Solve for x
    x = 403,728.05/679.54
  6. Step 6: Final answer
    x = 594.12

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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.