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Finding the Fourth Proportional to 583.24, 804.45 and 548.41

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Solution

The fourth proportional to 583.24, 804.45 and 548.41 is: 756.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.24 : 804.45 = 548.41 : x
  2. Step 2: Convert to fraction form
    583.24/804.45 = 548.41/x
  3. Step 3: Cross multiply
    583.24x = 804.45 × 548.41
  4. Step 4: Simplify right side
    583.24x = 441,168.42
  5. Step 5: Solve for x
    x = 441,168.42/583.24
  6. Step 6: Final answer
    x = 756.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.