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Finding the Fourth Proportional to 592.30, 817.32 and 382.11

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Solution

The fourth proportional to 592.30, 817.32 and 382.11 is: 527.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.30 : 817.32 = 382.11 : x
  2. Step 2: Convert to fraction form
    592.30/817.32 = 382.11/x
  3. Step 3: Cross multiply
    592.30x = 817.32 × 382.11
  4. Step 4: Simplify right side
    592.30x = 312,306.15
  5. Step 5: Solve for x
    x = 312,306.15/592.30
  6. Step 6: Final answer
    x = 527.28

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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.