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Finding the Fourth Proportional to 592.27, 817.64 and 382.57

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Solution

The fourth proportional to 592.27, 817.64 and 382.57 is: 528.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.27 : 817.64 = 382.57 : x
  2. Step 2: Convert to fraction form
    592.27/817.64 = 382.57/x
  3. Step 3: Cross multiply
    592.27x = 817.64 × 382.57
  4. Step 4: Simplify right side
    592.27x = 312,804.53
  5. Step 5: Solve for x
    x = 312,804.53/592.27
  6. Step 6: Final answer
    x = 528.15

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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.