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Finding the Fourth Proportional to 592.98, 816.48 and 504.29

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Solution

The fourth proportional to 592.98, 816.48 and 504.29 is: 694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.98 : 816.48 = 504.29 : x
  2. Step 2: Convert to fraction form
    592.98/816.48 = 504.29/x
  3. Step 3: Cross multiply
    592.98x = 816.48 × 504.29
  4. Step 4: Simplify right side
    592.98x = 411,738.62
  5. Step 5: Solve for x
    x = 411,738.62/592.98
  6. Step 6: Final answer
    x = 694.35

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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.