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Finding the Fourth Proportional to 592.10, 817.23 and 382.50

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Solution

The fourth proportional to 592.10, 817.23 and 382.50 is: 527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.10 : 817.23 = 382.50 : x
  2. Step 2: Convert to fraction form
    592.10/817.23 = 382.50/x
  3. Step 3: Cross multiply
    592.10x = 817.23 × 382.50
  4. Step 4: Simplify right side
    592.10x = 312,590.48
  5. Step 5: Solve for x
    x = 312,590.48/592.10
  6. Step 6: Final answer
    x = 527.94

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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.