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Finding the Fourth Proportional to 633.12, 873.96 and 397.08

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Solution

The fourth proportional to 633.12, 873.96 and 397.08 is: 548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.12 : 873.96 = 397.08 : x
  2. Step 2: Convert to fraction form
    633.12/873.96 = 397.08/x
  3. Step 3: Cross multiply
    633.12x = 873.96 × 397.08
  4. Step 4: Simplify right side
    633.12x = 347,032.04
  5. Step 5: Solve for x
    x = 347,032.04/633.12
  6. Step 6: Final answer
    x = 548.13

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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.