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Finding the Fourth Proportional to 637.84, 879.53 and 416.68

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Solution

The fourth proportional to 637.84, 879.53 and 416.68 is: 574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.84 : 879.53 = 416.68 : x
  2. Step 2: Convert to fraction form
    637.84/879.53 = 416.68/x
  3. Step 3: Cross multiply
    637.84x = 879.53 × 416.68
  4. Step 4: Simplify right side
    637.84x = 366,478.28
  5. Step 5: Solve for x
    x = 366,478.28/637.84
  6. Step 6: Final answer
    x = 574.56

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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.