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Finding the Fourth Proportional to 583.29, 874.24 and 445.92

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Solution

The fourth proportional to 583.29, 874.24 and 445.92 is: 668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.29 : 874.24 = 445.92 : x
  2. Step 2: Convert to fraction form
    583.29/874.24 = 445.92/x
  3. Step 3: Cross multiply
    583.29x = 874.24 × 445.92
  4. Step 4: Simplify right side
    583.29x = 389,839.99
  5. Step 5: Solve for x
    x = 389,839.99/583.29
  6. Step 6: Final answer
    x = 668.35

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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.