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Finding the Fourth Proportional to 686.45, 947.04 and 420.81

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Solution

The fourth proportional to 686.45, 947.04 and 420.81 is: 580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.45 : 947.04 = 420.81 : x
  2. Step 2: Convert to fraction form
    686.45/947.04 = 420.81/x
  3. Step 3: Cross multiply
    686.45x = 947.04 × 420.81
  4. Step 4: Simplify right side
    686.45x = 398,523.90
  5. Step 5: Solve for x
    x = 398,523.90/686.45
  6. Step 6: Final answer
    x = 580.56

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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.