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Finding the Fourth Proportional to 637.41, 879.06 and 416.13

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Solution

The fourth proportional to 637.41, 879.06 and 416.13 is: 573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.41 : 879.06 = 416.13 : x
  2. Step 2: Convert to fraction form
    637.41/879.06 = 416.13/x
  3. Step 3: Cross multiply
    637.41x = 879.06 × 416.13
  4. Step 4: Simplify right side
    637.41x = 365,803.24
  5. Step 5: Solve for x
    x = 365,803.24/637.41
  6. Step 6: Final answer
    x = 573.89

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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.