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Finding the Fourth Proportional to 686.26, 947.02 and 375.76

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Solution

The fourth proportional to 686.26, 947.02 and 375.76 is: 518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.26 : 947.02 = 375.76 : x
  2. Step 2: Convert to fraction form
    686.26/947.02 = 375.76/x
  3. Step 3: Cross multiply
    686.26x = 947.02 × 375.76
  4. Step 4: Simplify right side
    686.26x = 355,852.24
  5. Step 5: Solve for x
    x = 355,852.24/686.26
  6. Step 6: Final answer
    x = 518.54

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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.