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Finding the Fourth Proportional to 583.65, 805.40 and 321.66

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Solution

The fourth proportional to 583.65, 805.40 and 321.66 is: 443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.65 : 805.40 = 321.66 : x
  2. Step 2: Convert to fraction form
    583.65/805.40 = 321.66/x
  3. Step 3: Cross multiply
    583.65x = 805.40 × 321.66
  4. Step 4: Simplify right side
    583.65x = 259,063.36
  5. Step 5: Solve for x
    x = 259,063.36/583.65
  6. Step 6: Final answer
    x = 443.87

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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.