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Finding the Fourth Proportional to 938.05, 1,407.11 and 288.63

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Solution

The fourth proportional to 938.05, 1,407.11 and 288.63 is: 432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.05 : 1,407.11 = 288.63 : x
  2. Step 2: Convert to fraction form
    938.05/1,407.11 = 288.63/x
  3. Step 3: Cross multiply
    938.05x = 1,407.11 × 288.63
  4. Step 4: Simplify right side
    938.05x = 406,132.72
  5. Step 5: Solve for x
    x = 406,132.72/938.05
  6. Step 6: Final answer
    x = 432.96

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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.