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Finding the Fourth Proportional to 584.13, 805.83 and 335.25

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Solution

The fourth proportional to 584.13, 805.83 and 335.25 is: 462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.13 : 805.83 = 335.25 : x
  2. Step 2: Convert to fraction form
    584.13/805.83 = 335.25/x
  3. Step 3: Cross multiply
    584.13x = 805.83 × 335.25
  4. Step 4: Simplify right side
    584.13x = 270,154.51
  5. Step 5: Solve for x
    x = 270,154.51/584.13
  6. Step 6: Final answer
    x = 462.49

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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.