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Finding the Fourth Proportional to 583.96, 805.89 and 335.35

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Solution

The fourth proportional to 583.96, 805.89 and 335.35 is: 462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.96 : 805.89 = 335.35 : x
  2. Step 2: Convert to fraction form
    583.96/805.89 = 335.35/x
  3. Step 3: Cross multiply
    583.96x = 805.89 × 335.35
  4. Step 4: Simplify right side
    583.96x = 270,255.21
  5. Step 5: Solve for x
    x = 270,255.21/583.96
  6. Step 6: Final answer
    x = 462.80

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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.