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Finding the Fourth Proportional to 634.04, 873.96 and 478.52

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Solution

The fourth proportional to 634.04, 873.96 and 478.52 is: 659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.04 : 873.96 = 478.52 : x
  2. Step 2: Convert to fraction form
    634.04/873.96 = 478.52/x
  3. Step 3: Cross multiply
    634.04x = 873.96 × 478.52
  4. Step 4: Simplify right side
    634.04x = 418,207.34
  5. Step 5: Solve for x
    x = 418,207.34/634.04
  6. Step 6: Final answer
    x = 659.59

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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.