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Finding the Fourth Proportional to 584.23, 874.33 and 361.77

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Solution

The fourth proportional to 584.23, 874.33 and 361.77 is: 541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.23 : 874.33 = 361.77 : x
  2. Step 2: Convert to fraction form
    584.23/874.33 = 361.77/x
  3. Step 3: Cross multiply
    584.23x = 874.33 × 361.77
  4. Step 4: Simplify right side
    584.23x = 316,309.19
  5. Step 5: Solve for x
    x = 316,309.19/584.23
  6. Step 6: Final answer
    x = 541.41

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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.