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Finding the Fourth Proportional to 592.83, 889.64 and 361.80

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Solution

The fourth proportional to 592.83, 889.64 and 361.80 is: 542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.83 : 889.64 = 361.80 : x
  2. Step 2: Convert to fraction form
    592.83/889.64 = 361.80/x
  3. Step 3: Cross multiply
    592.83x = 889.64 × 361.80
  4. Step 4: Simplify right side
    592.83x = 321,871.75
  5. Step 5: Solve for x
    x = 321,871.75/592.83
  6. Step 6: Final answer
    x = 542.94

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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.