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Finding the Fourth Proportional to 457.29, 682.38 and 446.31

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Solution

The fourth proportional to 457.29, 682.38 and 446.31 is: 666.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.29 : 682.38 = 446.31 : x
  2. Step 2: Convert to fraction form
    457.29/682.38 = 446.31/x
  3. Step 3: Cross multiply
    457.29x = 682.38 × 446.31
  4. Step 4: Simplify right side
    457.29x = 304,553.02
  5. Step 5: Solve for x
    x = 304,553.02/457.29
  6. Step 6: Final answer
    x = 666.00

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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.