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Finding the Fourth Proportional to 679.14, 937.17 and 430.07

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Solution

The fourth proportional to 679.14, 937.17 and 430.07 is: 593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.14 : 937.17 = 430.07 : x
  2. Step 2: Convert to fraction form
    679.14/937.17 = 430.07/x
  3. Step 3: Cross multiply
    679.14x = 937.17 × 430.07
  4. Step 4: Simplify right side
    679.14x = 403,044.02
  5. Step 5: Solve for x
    x = 403,044.02/679.14
  6. Step 6: Final answer
    x = 593.46

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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.