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Finding the Fourth Proportional to 938.84, 1,407.86 and 361.31

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Solution

The fourth proportional to 938.84, 1,407.86 and 361.31 is: 541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.84 : 1,407.86 = 361.31 : x
  2. Step 2: Convert to fraction form
    938.84/1,407.86 = 361.31/x
  3. Step 3: Cross multiply
    938.84x = 1,407.86 × 361.31
  4. Step 4: Simplify right side
    938.84x = 508,675.61
  5. Step 5: Solve for x
    x = 508,675.61/938.84
  6. Step 6: Final answer
    x = 541.81

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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.