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Finding the Fourth Proportional to 679.71, 937.46 and 430.79

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Solution

The fourth proportional to 679.71, 937.46 and 430.79 is: 594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.71 : 937.46 = 430.79 : x
  2. Step 2: Convert to fraction form
    679.71/937.46 = 430.79/x
  3. Step 3: Cross multiply
    679.71x = 937.46 × 430.79
  4. Step 4: Simplify right side
    679.71x = 403,841.55
  5. Step 5: Solve for x
    x = 403,841.55/679.71
  6. Step 6: Final answer
    x = 594.14

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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.