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Finding the Fourth Proportional to 637.68, 879.68 and 404.80

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Solution

The fourth proportional to 637.68, 879.68 and 404.80 is: 558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.68 : 879.68 = 404.80 : x
  2. Step 2: Convert to fraction form
    637.68/879.68 = 404.80/x
  3. Step 3: Cross multiply
    637.68x = 879.68 × 404.80
  4. Step 4: Simplify right side
    637.68x = 356,094.46
  5. Step 5: Solve for x
    x = 356,094.46/637.68
  6. Step 6: Final answer
    x = 558.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.