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Finding the Fourth Proportional to 583.85, 805.72 and 335.18

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Solution

The fourth proportional to 583.85, 805.72 and 335.18 is: 462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.85 : 805.72 = 335.18 : x
  2. Step 2: Convert to fraction form
    583.85/805.72 = 335.18/x
  3. Step 3: Cross multiply
    583.85x = 805.72 × 335.18
  4. Step 4: Simplify right side
    583.85x = 270,062.41
  5. Step 5: Solve for x
    x = 270,062.41/583.85
  6. Step 6: Final answer
    x = 462.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.