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Finding the Fourth Proportional to 633.60, 950.40 and 325.02

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Solution

The fourth proportional to 633.60, 950.40 and 325.02 is: 487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.60 : 950.40 = 325.02 : x
  2. Step 2: Convert to fraction form
    633.60/950.40 = 325.02/x
  3. Step 3: Cross multiply
    633.60x = 950.40 × 325.02
  4. Step 4: Simplify right side
    633.60x = 308,899.01
  5. Step 5: Solve for x
    x = 308,899.01/633.60
  6. Step 6: Final answer
    x = 487.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.