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Finding the Fourth Proportional to 583.84, 805.71 and 321.85

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Solution

The fourth proportional to 583.84, 805.71 and 321.85 is: 444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.84 : 805.71 = 321.85 : x
  2. Step 2: Convert to fraction form
    583.84/805.71 = 321.85/x
  3. Step 3: Cross multiply
    583.84x = 805.71 × 321.85
  4. Step 4: Simplify right side
    583.84x = 259,317.76
  5. Step 5: Solve for x
    x = 259,317.76/583.84
  6. Step 6: Final answer
    x = 444.16

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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.