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Finding the Fourth Proportional to 583.47, 805.17 and 321.51

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Solution

The fourth proportional to 583.47, 805.17 and 321.51 is: 443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.47 : 805.17 = 321.51 : x
  2. Step 2: Convert to fraction form
    583.47/805.17 = 321.51/x
  3. Step 3: Cross multiply
    583.47x = 805.17 × 321.51
  4. Step 4: Simplify right side
    583.47x = 258,870.21
  5. Step 5: Solve for x
    x = 258,870.21/583.47
  6. Step 6: Final answer
    x = 443.67

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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.