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Finding the Fourth Proportional to 583.66, 805.43 and 321.67

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Solution

The fourth proportional to 583.66, 805.43 and 321.67 is: 443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.66 : 805.43 = 321.67 : x
  2. Step 2: Convert to fraction form
    583.66/805.43 = 321.67/x
  3. Step 3: Cross multiply
    583.66x = 805.43 × 321.67
  4. Step 4: Simplify right side
    583.66x = 259,082.67
  5. Step 5: Solve for x
    x = 259,082.67/583.66
  6. Step 6: Final answer
    x = 443.89

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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.