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Finding the Fourth Proportional to 592.68, 817.45 and 405.97

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Solution

The fourth proportional to 592.68, 817.45 and 405.97 is: 559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.68 : 817.45 = 405.97 : x
  2. Step 2: Convert to fraction form
    592.68/817.45 = 405.97/x
  3. Step 3: Cross multiply
    592.68x = 817.45 × 405.97
  4. Step 4: Simplify right side
    592.68x = 331,860.18
  5. Step 5: Solve for x
    x = 331,860.18/592.68
  6. Step 6: Final answer
    x = 559.93

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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.