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Finding the Fourth Proportional to 583.83, 805.65 and 321.84

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Solution

The fourth proportional to 583.83, 805.65 and 321.84 is: 444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.83 : 805.65 = 321.84 : x
  2. Step 2: Convert to fraction form
    583.83/805.65 = 321.84/x
  3. Step 3: Cross multiply
    583.83x = 805.65 × 321.84
  4. Step 4: Simplify right side
    583.83x = 259,289.59
  5. Step 5: Solve for x
    x = 259,289.59/583.83
  6. Step 6: Final answer
    x = 444.12

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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.