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Finding the Fourth Proportional to 637.54, 879.83 and 357.83

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Solution

The fourth proportional to 637.54, 879.83 and 357.83 is: 493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.54 : 879.83 = 357.83 : x
  2. Step 2: Convert to fraction form
    637.54/879.83 = 357.83/x
  3. Step 3: Cross multiply
    637.54x = 879.83 × 357.83
  4. Step 4: Simplify right side
    637.54x = 314,829.98
  5. Step 5: Solve for x
    x = 314,829.98/637.54
  6. Step 6: Final answer
    x = 493.82

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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.