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Finding the Fourth Proportional to 583.61, 805.41 and 321.66

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Solution

The fourth proportional to 583.61, 805.41 and 321.66 is: 443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.61 : 805.41 = 321.66 : x
  2. Step 2: Convert to fraction form
    583.61/805.41 = 321.66/x
  3. Step 3: Cross multiply
    583.61x = 805.41 × 321.66
  4. Step 4: Simplify right side
    583.61x = 259,068.18
  5. Step 5: Solve for x
    x = 259,068.18/583.61
  6. Step 6: Final answer
    x = 443.91

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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.