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Finding the Fourth Proportional to 592.71, 817.20 and 371.58

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Solution

The fourth proportional to 592.71, 817.20 and 371.58 is: 512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.71 : 817.20 = 371.58 : x
  2. Step 2: Convert to fraction form
    592.71/817.20 = 371.58/x
  3. Step 3: Cross multiply
    592.71x = 817.20 × 371.58
  4. Step 4: Simplify right side
    592.71x = 303,655.18
  5. Step 5: Solve for x
    x = 303,655.18/592.71
  6. Step 6: Final answer
    x = 512.32

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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.