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Finding the Fourth Proportional to 686.86, 947.49 and 438.05

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Solution

The fourth proportional to 686.86, 947.49 and 438.05 is: 604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.86 : 947.49 = 438.05 : x
  2. Step 2: Convert to fraction form
    686.86/947.49 = 438.05/x
  3. Step 3: Cross multiply
    686.86x = 947.49 × 438.05
  4. Step 4: Simplify right side
    686.86x = 415,047.99
  5. Step 5: Solve for x
    x = 415,047.99/686.86
  6. Step 6: Final answer
    x = 604.27

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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.