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Finding the Fourth Proportional to 461.43, 688.84 and 446.31

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Solution

The fourth proportional to 461.43, 688.84 and 446.31 is: 666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.43 : 688.84 = 446.31 : x
  2. Step 2: Convert to fraction form
    461.43/688.84 = 446.31/x
  3. Step 3: Cross multiply
    461.43x = 688.84 × 446.31
  4. Step 4: Simplify right side
    461.43x = 307,435.06
  5. Step 5: Solve for x
    x = 307,435.06/461.43
  6. Step 6: Final answer
    x = 666.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.