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Finding the Fourth Proportional to 637.60, 879.84 and 357.82

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Solution

The fourth proportional to 637.60, 879.84 and 357.82 is: 493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.60 : 879.84 = 357.82 : x
  2. Step 2: Convert to fraction form
    637.60/879.84 = 357.82/x
  3. Step 3: Cross multiply
    637.60x = 879.84 × 357.82
  4. Step 4: Simplify right side
    637.60x = 314,824.35
  5. Step 5: Solve for x
    x = 314,824.35/637.60
  6. Step 6: Final answer
    x = 493.76

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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.