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Finding the Fourth Proportional to 592.10, 882.97 and 559.75

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Solution

The fourth proportional to 592.10, 882.97 and 559.75 is: 834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.10 : 882.97 = 559.75 : x
  2. Step 2: Convert to fraction form
    592.10/882.97 = 559.75/x
  3. Step 3: Cross multiply
    592.10x = 882.97 × 559.75
  4. Step 4: Simplify right side
    592.10x = 494,242.46
  5. Step 5: Solve for x
    x = 494,242.46/592.10
  6. Step 6: Final answer
    x = 834.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.