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Finding the Fourth Proportional to 592.13, 816.87 and 382.23

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Solution

The fourth proportional to 592.13, 816.87 and 382.23 is: 527.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.13 : 816.87 = 382.23 : x
  2. Step 2: Convert to fraction form
    592.13/816.87 = 382.23/x
  3. Step 3: Cross multiply
    592.13x = 816.87 × 382.23
  4. Step 4: Simplify right side
    592.13x = 312,232.22
  5. Step 5: Solve for x
    x = 312,232.22/592.13
  6. Step 6: Final answer
    x = 527.30

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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.