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Finding the Fourth Proportional to 592.92, 816.30 and 494.46

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Solution

The fourth proportional to 592.92, 816.30 and 494.46 is: 680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.92 : 816.30 = 494.46 : x
  2. Step 2: Convert to fraction form
    592.92/816.30 = 494.46/x
  3. Step 3: Cross multiply
    592.92x = 816.30 × 494.46
  4. Step 4: Simplify right side
    592.92x = 403,627.70
  5. Step 5: Solve for x
    x = 403,627.70/592.92
  6. Step 6: Final answer
    x = 680.75

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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.