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Finding the Fourth Proportional to 686.32, 947.36 and 406.65

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Solution

The fourth proportional to 686.32, 947.36 and 406.65 is: 561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.32 : 947.36 = 406.65 : x
  2. Step 2: Convert to fraction form
    686.32/947.36 = 406.65/x
  3. Step 3: Cross multiply
    686.32x = 947.36 × 406.65
  4. Step 4: Simplify right side
    686.32x = 385,243.94
  5. Step 5: Solve for x
    x = 385,243.94/686.32
  6. Step 6: Final answer
    x = 561.32

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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.