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Finding the Fourth Proportional to 592.57, 889.26 and 419.23

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Solution

The fourth proportional to 592.57, 889.26 and 419.23 is: 629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.57 : 889.26 = 419.23 : x
  2. Step 2: Convert to fraction form
    592.57/889.26 = 419.23/x
  3. Step 3: Cross multiply
    592.57x = 889.26 × 419.23
  4. Step 4: Simplify right side
    592.57x = 372,804.47
  5. Step 5: Solve for x
    x = 372,804.47/592.57
  6. Step 6: Final answer
    x = 629.13

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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.