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Finding the Fourth Proportional to 938.55, 1,407.42 and 289.13

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Solution

The fourth proportional to 938.55, 1,407.42 and 289.13 is: 433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.55 : 1,407.42 = 289.13 : x
  2. Step 2: Convert to fraction form
    938.55/1,407.42 = 289.13/x
  3. Step 3: Cross multiply
    938.55x = 1,407.42 × 289.13
  4. Step 4: Simplify right side
    938.55x = 406,930.86
  5. Step 5: Solve for x
    x = 406,930.86/938.55
  6. Step 6: Final answer
    x = 433.57

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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.