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Finding the Fourth Proportional to 583.78, 805.39 and 335.04

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Solution

The fourth proportional to 583.78, 805.39 and 335.04 is: 462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.78 : 805.39 = 335.04 : x
  2. Step 2: Convert to fraction form
    583.78/805.39 = 335.04/x
  3. Step 3: Cross multiply
    583.78x = 805.39 × 335.04
  4. Step 4: Simplify right side
    583.78x = 269,837.87
  5. Step 5: Solve for x
    x = 269,837.87/583.78
  6. Step 6: Final answer
    x = 462.23

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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.