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Finding the Fourth Proportional to 583.51, 805.23 and 321.52

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Solution

The fourth proportional to 583.51, 805.23 and 321.52 is: 443.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.51 : 805.23 = 321.52 : x
  2. Step 2: Convert to fraction form
    583.51/805.23 = 321.52/x
  3. Step 3: Cross multiply
    583.51x = 805.23 × 321.52
  4. Step 4: Simplify right side
    583.51x = 258,897.55
  5. Step 5: Solve for x
    x = 258,897.55/583.51
  6. Step 6: Final answer
    x = 443.69

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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.