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Finding the Fourth Proportional to 592.56, 817.60 and 371.44

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Solution

The fourth proportional to 592.56, 817.60 and 371.44 is: 512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.56 : 817.60 = 371.44 : x
  2. Step 2: Convert to fraction form
    592.56/817.60 = 371.44/x
  3. Step 3: Cross multiply
    592.56x = 817.60 × 371.44
  4. Step 4: Simplify right side
    592.56x = 303,689.34
  5. Step 5: Solve for x
    x = 303,689.34/592.56
  6. Step 6: Final answer
    x = 512.50

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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.