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Finding the Fourth Proportional to 637.54, 879.32 and 427.66

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Solution

The fourth proportional to 637.54, 879.32 and 427.66 is: 589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.54 : 879.32 = 427.66 : x
  2. Step 2: Convert to fraction form
    637.54/879.32 = 427.66/x
  3. Step 3: Cross multiply
    637.54x = 879.32 × 427.66
  4. Step 4: Simplify right side
    637.54x = 376,043.46
  5. Step 5: Solve for x
    x = 376,043.46/637.54
  6. Step 6: Final answer
    x = 589.84

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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.