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Finding the Fourth Proportional to 583.49, 873.72 and 492.37

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Solution

The fourth proportional to 583.49, 873.72 and 492.37 is: 737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.49 : 873.72 = 492.37 : x
  2. Step 2: Convert to fraction form
    583.49/873.72 = 492.37/x
  3. Step 3: Cross multiply
    583.49x = 873.72 × 492.37
  4. Step 4: Simplify right side
    583.49x = 430,191.33
  5. Step 5: Solve for x
    x = 430,191.33/583.49
  6. Step 6: Final answer
    x = 737.27

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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.