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Finding the Fourth Proportional to 592.02, 816.30 and 382.19

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Solution

The fourth proportional to 592.02, 816.30 and 382.19 is: 526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.02 : 816.30 = 382.19 : x
  2. Step 2: Convert to fraction form
    592.02/816.30 = 382.19/x
  3. Step 3: Cross multiply
    592.02x = 816.30 × 382.19
  4. Step 4: Simplify right side
    592.02x = 311,977.62
  5. Step 5: Solve for x
    x = 311,977.62/592.02
  6. Step 6: Final answer
    x = 526.97

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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.