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Finding the Fourth Proportional to 637.88, 955.80 and 442.46

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Solution

The fourth proportional to 637.88, 955.80 and 442.46 is: 662.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.88 : 955.80 = 442.46 : x
  2. Step 2: Convert to fraction form
    637.88/955.80 = 442.46/x
  3. Step 3: Cross multiply
    637.88x = 955.80 × 442.46
  4. Step 4: Simplify right side
    637.88x = 422,905.66
  5. Step 5: Solve for x
    x = 422,905.66/637.88
  6. Step 6: Final answer
    x = 662.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.