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Finding the Fourth Proportional to 583.35, 805.02 and 321.36

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Solution

The fourth proportional to 583.35, 805.02 and 321.36 is: 443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.35 : 805.02 = 321.36 : x
  2. Step 2: Convert to fraction form
    583.35/805.02 = 321.36/x
  3. Step 3: Cross multiply
    583.35x = 805.02 × 321.36
  4. Step 4: Simplify right side
    583.35x = 258,701.23
  5. Step 5: Solve for x
    x = 258,701.23/583.35
  6. Step 6: Final answer
    x = 443.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.