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Finding the Fourth Proportional to 583.50, 805.21 and 321.50

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Solution

The fourth proportional to 583.50, 805.21 and 321.50 is: 443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.50 : 805.21 = 321.50 : x
  2. Step 2: Convert to fraction form
    583.50/805.21 = 321.50/x
  3. Step 3: Cross multiply
    583.50x = 805.21 × 321.50
  4. Step 4: Simplify right side
    583.50x = 258,875.02
  5. Step 5: Solve for x
    x = 258,875.02/583.50
  6. Step 6: Final answer
    x = 443.66

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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.