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Finding the Fourth Proportional to 592.62, 889.35 and 409.71

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Solution

The fourth proportional to 592.62, 889.35 and 409.71 is: 614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.62 : 889.35 = 409.71 : x
  2. Step 2: Convert to fraction form
    592.62/889.35 = 409.71/x
  3. Step 3: Cross multiply
    592.62x = 889.35 × 409.71
  4. Step 4: Simplify right side
    592.62x = 364,375.59
  5. Step 5: Solve for x
    x = 364,375.59/592.62
  6. Step 6: Final answer
    x = 614.86

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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.