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Finding the Fourth Proportional to 583.05, 804.57 and 334.34

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Solution

The fourth proportional to 583.05, 804.57 and 334.34 is: 461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.05 : 804.57 = 334.34 : x
  2. Step 2: Convert to fraction form
    583.05/804.57 = 334.34/x
  3. Step 3: Cross multiply
    583.05x = 804.57 × 334.34
  4. Step 4: Simplify right side
    583.05x = 268,995.91
  5. Step 5: Solve for x
    x = 268,995.91/583.05
  6. Step 6: Final answer
    x = 461.36

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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.