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Finding the Fourth Proportional to 664.10, 915.30 and 633.32

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Solution

The fourth proportional to 664.10, 915.30 and 633.32 is: 872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.10 : 915.30 = 633.32 : x
  2. Step 2: Convert to fraction form
    664.10/915.30 = 633.32/x
  3. Step 3: Cross multiply
    664.10x = 915.30 × 633.32
  4. Step 4: Simplify right side
    664.10x = 579,677.80
  5. Step 5: Solve for x
    x = 579,677.80/664.10
  6. Step 6: Final answer
    x = 872.88

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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.