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Finding the Fourth Proportional to 592.62, 817.53 and 371.19

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Solution

The fourth proportional to 592.62, 817.53 and 371.19 is: 512.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.62 : 817.53 = 371.19 : x
  2. Step 2: Convert to fraction form
    592.62/817.53 = 371.19/x
  3. Step 3: Cross multiply
    592.62x = 817.53 × 371.19
  4. Step 4: Simplify right side
    592.62x = 303,458.96
  5. Step 5: Solve for x
    x = 303,458.96/592.62
  6. Step 6: Final answer
    x = 512.06

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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.