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Finding the Fourth Proportional to 584.21, 805.95 and 335.48

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Solution

The fourth proportional to 584.21, 805.95 and 335.48 is: 462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.21 : 805.95 = 335.48 : x
  2. Step 2: Convert to fraction form
    584.21/805.95 = 335.48/x
  3. Step 3: Cross multiply
    584.21x = 805.95 × 335.48
  4. Step 4: Simplify right side
    584.21x = 270,376.08
  5. Step 5: Solve for x
    x = 270,376.08/584.21
  6. Step 6: Final answer
    x = 462.81

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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.