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Finding the Fourth Proportional to 583.41, 804.94 and 334.78

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Solution

The fourth proportional to 583.41, 804.94 and 334.78 is: 461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.41 : 804.94 = 334.78 : x
  2. Step 2: Convert to fraction form
    583.41/804.94 = 334.78/x
  3. Step 3: Cross multiply
    583.41x = 804.94 × 334.78
  4. Step 4: Simplify right side
    583.41x = 269,477.81
  5. Step 5: Solve for x
    x = 269,477.81/583.41
  6. Step 6: Final answer
    x = 461.90

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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.