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Finding the Fourth Proportional to 938.47, 1,407.67 and 289.19

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Solution

The fourth proportional to 938.47, 1,407.67 and 289.19 is: 433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.47 : 1,407.67 = 289.19 : x
  2. Step 2: Convert to fraction form
    938.47/1,407.67 = 289.19/x
  3. Step 3: Cross multiply
    938.47x = 1,407.67 × 289.19
  4. Step 4: Simplify right side
    938.47x = 407,082.64
  5. Step 5: Solve for x
    x = 407,082.64/938.47
  6. Step 6: Final answer
    x = 433.77

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Why These Related Problems?

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