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Finding the Fourth Proportional to 634.18, 873.74 and 476.56

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Solution

The fourth proportional to 634.18, 873.74 and 476.56 is: 656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.18 : 873.74 = 476.56 : x
  2. Step 2: Convert to fraction form
    634.18/873.74 = 476.56/x
  3. Step 3: Cross multiply
    634.18x = 873.74 × 476.56
  4. Step 4: Simplify right side
    634.18x = 416,389.53
  5. Step 5: Solve for x
    x = 416,389.53/634.18
  6. Step 6: Final answer
    x = 656.58

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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.