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Finding the Fourth Proportional to 583.82, 805.64 and 321.82

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Solution

The fourth proportional to 583.82, 805.64 and 321.82 is: 444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.82 : 805.64 = 321.82 : x
  2. Step 2: Convert to fraction form
    583.82/805.64 = 321.82/x
  3. Step 3: Cross multiply
    583.82x = 805.64 × 321.82
  4. Step 4: Simplify right side
    583.82x = 259,271.06
  5. Step 5: Solve for x
    x = 259,271.06/583.82
  6. Step 6: Final answer
    x = 444.09

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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.