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Finding the Fourth Proportional to 592.10, 816.83 and 459.36

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Solution

The fourth proportional to 592.10, 816.83 and 459.36 is: 633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.10 : 816.83 = 459.36 : x
  2. Step 2: Convert to fraction form
    592.10/816.83 = 459.36/x
  3. Step 3: Cross multiply
    592.10x = 816.83 × 459.36
  4. Step 4: Simplify right side
    592.10x = 375,219.03
  5. Step 5: Solve for x
    x = 375,219.03/592.10
  6. Step 6: Final answer
    x = 633.71

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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.