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Finding the Fourth Proportional to 584.08, 805.77 and 335.35

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Solution

The fourth proportional to 584.08, 805.77 and 335.35 is: 462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.08 : 805.77 = 335.35 : x
  2. Step 2: Convert to fraction form
    584.08/805.77 = 335.35/x
  3. Step 3: Cross multiply
    584.08x = 805.77 × 335.35
  4. Step 4: Simplify right side
    584.08x = 270,214.97
  5. Step 5: Solve for x
    x = 270,214.97/584.08
  6. Step 6: Final answer
    x = 462.63

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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.