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Finding the Fourth Proportional to 633.60, 950.13 and 325.14

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Solution

The fourth proportional to 633.60, 950.13 and 325.14 is: 487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.60 : 950.13 = 325.14 : x
  2. Step 2: Convert to fraction form
    633.60/950.13 = 325.14/x
  3. Step 3: Cross multiply
    633.60x = 950.13 × 325.14
  4. Step 4: Simplify right side
    633.60x = 308,925.27
  5. Step 5: Solve for x
    x = 308,925.27/633.60
  6. Step 6: Final answer
    x = 487.57

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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.