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Finding the Fourth Proportional to 592.09, 817.43 and 414.98

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Solution

The fourth proportional to 592.09, 817.43 and 414.98 is: 572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.09 : 817.43 = 414.98 : x
  2. Step 2: Convert to fraction form
    592.09/817.43 = 414.98/x
  3. Step 3: Cross multiply
    592.09x = 817.43 × 414.98
  4. Step 4: Simplify right side
    592.09x = 339,217.10
  5. Step 5: Solve for x
    x = 339,217.10/592.09
  6. Step 6: Final answer
    x = 572.91

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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.