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Finding the Fourth Proportional to 583.70, 805.36 and 334.94

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Solution

The fourth proportional to 583.70, 805.36 and 334.94 is: 462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.70 : 805.36 = 334.94 : x
  2. Step 2: Convert to fraction form
    583.70/805.36 = 334.94/x
  3. Step 3: Cross multiply
    583.70x = 805.36 × 334.94
  4. Step 4: Simplify right side
    583.70x = 269,747.28
  5. Step 5: Solve for x
    x = 269,747.28/583.70
  6. Step 6: Final answer
    x = 462.13

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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.