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Finding the Fourth Proportional to 686.64, 947.46 and 406.82

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Solution

The fourth proportional to 686.64, 947.46 and 406.82 is: 561.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.64 : 947.46 = 406.82 : x
  2. Step 2: Convert to fraction form
    686.64/947.46 = 406.82/x
  3. Step 3: Cross multiply
    686.64x = 947.46 × 406.82
  4. Step 4: Simplify right side
    686.64x = 385,445.68
  5. Step 5: Solve for x
    x = 385,445.68/686.64
  6. Step 6: Final answer
    x = 561.35

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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.