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Finding the Fourth Proportional to 662.93, 915.23 and 442.61

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Solution

The fourth proportional to 662.93, 915.23 and 442.61 is: 611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.93 : 915.23 = 442.61 : x
  2. Step 2: Convert to fraction form
    662.93/915.23 = 442.61/x
  3. Step 3: Cross multiply
    662.93x = 915.23 × 442.61
  4. Step 4: Simplify right side
    662.93x = 405,087.74
  5. Step 5: Solve for x
    x = 405,087.74/662.93
  6. Step 6: Final answer
    x = 611.06

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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.