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Finding the Fourth Proportional to 536.31, 740.40 and 371.43

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Solution

The fourth proportional to 536.31, 740.40 and 371.43 is: 512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.31 : 740.40 = 371.43 : x
  2. Step 2: Convert to fraction form
    536.31/740.40 = 371.43/x
  3. Step 3: Cross multiply
    536.31x = 740.40 × 371.43
  4. Step 4: Simplify right side
    536.31x = 275,006.77
  5. Step 5: Solve for x
    x = 275,006.77/536.31
  6. Step 6: Final answer
    x = 512.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.