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Finding the Fourth Proportional to 592.34, 889.32 and 511.34

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Solution

The fourth proportional to 592.34, 889.32 and 511.34 is: 767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.34 : 889.32 = 511.34 : x
  2. Step 2: Convert to fraction form
    592.34/889.32 = 511.34/x
  3. Step 3: Cross multiply
    592.34x = 889.32 × 511.34
  4. Step 4: Simplify right side
    592.34x = 454,744.89
  5. Step 5: Solve for x
    x = 454,744.89/592.34
  6. Step 6: Final answer
    x = 767.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.