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Finding the Fourth Proportional to 592.35, 816.96 and 382.53

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Solution

The fourth proportional to 592.35, 816.96 and 382.53 is: 527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.35 : 816.96 = 382.53 : x
  2. Step 2: Convert to fraction form
    592.35/816.96 = 382.53/x
  3. Step 3: Cross multiply
    592.35x = 816.96 × 382.53
  4. Step 4: Simplify right side
    592.35x = 312,511.71
  5. Step 5: Solve for x
    x = 312,511.71/592.35
  6. Step 6: Final answer
    x = 527.58

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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.