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Finding the Fourth Proportional to 592.05, 817.14 and 405.98

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Solution

The fourth proportional to 592.05, 817.14 and 405.98 is: 560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.05 : 817.14 = 405.98 : x
  2. Step 2: Convert to fraction form
    592.05/817.14 = 405.98/x
  3. Step 3: Cross multiply
    592.05x = 817.14 × 405.98
  4. Step 4: Simplify right side
    592.05x = 331,742.50
  5. Step 5: Solve for x
    x = 331,742.50/592.05
  6. Step 6: Final answer
    x = 560.33

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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.