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Finding the Fourth Proportional to 583.10, 873.22 and 377.04

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Solution

The fourth proportional to 583.10, 873.22 and 377.04 is: 564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.10 : 873.22 = 377.04 : x
  2. Step 2: Convert to fraction form
    583.10/873.22 = 377.04/x
  3. Step 3: Cross multiply
    583.10x = 873.22 × 377.04
  4. Step 4: Simplify right side
    583.10x = 329,237.93
  5. Step 5: Solve for x
    x = 329,237.93/583.10
  6. Step 6: Final answer
    x = 564.63

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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.