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Finding the Fourth Proportional to 679.64, 937.14 and 430.66

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Solution

The fourth proportional to 679.64, 937.14 and 430.66 is: 593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.64 : 937.14 = 430.66 : x
  2. Step 2: Convert to fraction form
    679.64/937.14 = 430.66/x
  3. Step 3: Cross multiply
    679.64x = 937.14 × 430.66
  4. Step 4: Simplify right side
    679.64x = 403,588.71
  5. Step 5: Solve for x
    x = 403,588.71/679.64
  6. Step 6: Final answer
    x = 593.83

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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.