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Finding the Fourth Proportional to 583.65, 805.41 and 321.64

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Solution

The fourth proportional to 583.65, 805.41 and 321.64 is: 443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.65 : 805.41 = 321.64 : x
  2. Step 2: Convert to fraction form
    583.65/805.41 = 321.64/x
  3. Step 3: Cross multiply
    583.65x = 805.41 × 321.64
  4. Step 4: Simplify right side
    583.65x = 259,052.07
  5. Step 5: Solve for x
    x = 259,052.07/583.65
  6. Step 6: Final answer
    x = 443.85

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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.