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Finding the Fourth Proportional to 592.24, 817.52 and 371.28

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Solution

The fourth proportional to 592.24, 817.52 and 371.28 is: 512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.24 : 817.52 = 371.28 : x
  2. Step 2: Convert to fraction form
    592.24/817.52 = 371.28/x
  3. Step 3: Cross multiply
    592.24x = 817.52 × 371.28
  4. Step 4: Simplify right side
    592.24x = 303,528.83
  5. Step 5: Solve for x
    x = 303,528.83/592.24
  6. Step 6: Final answer
    x = 512.51

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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.