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Finding the Fourth Proportional to 592.22, 816.92 and 396

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Solution

The fourth proportional to 592.22, 816.92 and 396 is: 546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.22 : 816.92 = 396 : x
  2. Step 2: Convert to fraction form
    592.22/816.92 = 396/x
  3. Step 3: Cross multiply
    592.22x = 816.92 × 396
  4. Step 4: Simplify right side
    592.22x = 323,500.32
  5. Step 5: Solve for x
    x = 323,500.32/592.22
  6. Step 6: Final answer
    x = 546.25

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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.