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Finding the Fourth Proportional to 583.88, 805.69 and 321.84

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Solution

The fourth proportional to 583.88, 805.69 and 321.84 is: 444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.88 : 805.69 = 321.84 : x
  2. Step 2: Convert to fraction form
    583.88/805.69 = 321.84/x
  3. Step 3: Cross multiply
    583.88x = 805.69 × 321.84
  4. Step 4: Simplify right side
    583.88x = 259,304.48
  5. Step 5: Solve for x
    x = 259,304.48/583.88
  6. Step 6: Final answer
    x = 444.11

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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.