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Finding the Fourth Proportional to 634.24, 875.46 and 401.68

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Solution

The fourth proportional to 634.24, 875.46 and 401.68 is: 554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.24 : 875.46 = 401.68 : x
  2. Step 2: Convert to fraction form
    634.24/875.46 = 401.68/x
  3. Step 3: Cross multiply
    634.24x = 875.46 × 401.68
  4. Step 4: Simplify right side
    634.24x = 351,654.77
  5. Step 5: Solve for x
    x = 351,654.77/634.24
  6. Step 6: Final answer
    x = 554.45

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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.