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Finding the Fourth Proportional to 679.83, 937.65 and 430.89

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Solution

The fourth proportional to 679.83, 937.65 and 430.89 is: 594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.83 : 937.65 = 430.89 : x
  2. Step 2: Convert to fraction form
    679.83/937.65 = 430.89/x
  3. Step 3: Cross multiply
    679.83x = 937.65 × 430.89
  4. Step 4: Simplify right side
    679.83x = 404,024.01
  5. Step 5: Solve for x
    x = 404,024.01/679.83
  6. Step 6: Final answer
    x = 594.30

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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.