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Finding the Fourth Proportional to 938, 1,407.02 and 288.79

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Solution

The fourth proportional to 938, 1,407.02 and 288.79 is: 433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    938 : 1,407.02 = 288.79 : x
  2. Step 2: Convert to fraction form
    938/1,407.02 = 288.79/x
  3. Step 3: Cross multiply
    938x = 1,407.02 × 288.79
  4. Step 4: Simplify right side
    938x = 406,333.31
  5. Step 5: Solve for x
    x = 406,333.31/938
  6. Step 6: Final answer
    x = 433.19

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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.