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Finding the Fourth Proportional to 664.64, 917.56 and 455.12

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Solution

The fourth proportional to 664.64, 917.56 and 455.12 is: 628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.64 : 917.56 = 455.12 : x
  2. Step 2: Convert to fraction form
    664.64/917.56 = 455.12/x
  3. Step 3: Cross multiply
    664.64x = 917.56 × 455.12
  4. Step 4: Simplify right side
    664.64x = 417,599.91
  5. Step 5: Solve for x
    x = 417,599.91/664.64
  6. Step 6: Final answer
    x = 628.31

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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.