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Finding the Fourth Proportional to 592.24, 817.24 and 371.20

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Solution

The fourth proportional to 592.24, 817.24 and 371.20 is: 512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.24 : 817.24 = 371.20 : x
  2. Step 2: Convert to fraction form
    592.24/817.24 = 371.20/x
  3. Step 3: Cross multiply
    592.24x = 817.24 × 371.20
  4. Step 4: Simplify right side
    592.24x = 303,359.49
  5. Step 5: Solve for x
    x = 303,359.49/592.24
  6. Step 6: Final answer
    x = 512.22

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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.