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Finding the Fourth Proportional to 583.40, 805.09 and 334.70

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Solution

The fourth proportional to 583.40, 805.09 and 334.70 is: 461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.40 : 805.09 = 334.70 : x
  2. Step 2: Convert to fraction form
    583.40/805.09 = 334.70/x
  3. Step 3: Cross multiply
    583.40x = 805.09 × 334.70
  4. Step 4: Simplify right side
    583.40x = 269,463.62
  5. Step 5: Solve for x
    x = 269,463.62/583.40
  6. Step 6: Final answer
    x = 461.88

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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.