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Finding the Fourth Proportional to 592.60, 814.34 and 481.84

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Solution

The fourth proportional to 592.60, 814.34 and 481.84 is: 662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.60 : 814.34 = 481.84 : x
  2. Step 2: Convert to fraction form
    592.60/814.34 = 481.84/x
  3. Step 3: Cross multiply
    592.60x = 814.34 × 481.84
  4. Step 4: Simplify right side
    592.60x = 392,381.59
  5. Step 5: Solve for x
    x = 392,381.59/592.60
  6. Step 6: Final answer
    x = 662.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.