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Finding the Fourth Proportional to 664.46, 917.31 and 454.94

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Solution

The fourth proportional to 664.46, 917.31 and 454.94 is: 628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.46 : 917.31 = 454.94 : x
  2. Step 2: Convert to fraction form
    664.46/917.31 = 454.94/x
  3. Step 3: Cross multiply
    664.46x = 917.31 × 454.94
  4. Step 4: Simplify right side
    664.46x = 417,316.42
  5. Step 5: Solve for x
    x = 417,316.42/664.46
  6. Step 6: Final answer
    x = 628.06

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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.