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Finding the Fourth Proportional to 664.06, 915.99 and 428.30

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Solution

The fourth proportional to 664.06, 915.99 and 428.30 is: 590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.06 : 915.99 = 428.30 : x
  2. Step 2: Convert to fraction form
    664.06/915.99 = 428.30/x
  3. Step 3: Cross multiply
    664.06x = 915.99 × 428.30
  4. Step 4: Simplify right side
    664.06x = 392,318.52
  5. Step 5: Solve for x
    x = 392,318.52/664.06
  6. Step 6: Final answer
    x = 590.79

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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.