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Finding the Fourth Proportional to 592.13, 817.43 and 459.05

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Solution

The fourth proportional to 592.13, 817.43 and 459.05 is: 633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.13 : 817.43 = 459.05 : x
  2. Step 2: Convert to fraction form
    592.13/817.43 = 459.05/x
  3. Step 3: Cross multiply
    592.13x = 817.43 × 459.05
  4. Step 4: Simplify right side
    592.13x = 375,241.24
  5. Step 5: Solve for x
    x = 375,241.24/592.13
  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.