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Finding the Fourth Proportional to 583.50, 805.23 and 494.67

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Solution

The fourth proportional to 583.50, 805.23 and 494.67 is: 682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.50 : 805.23 = 494.67 : x
  2. Step 2: Convert to fraction form
    583.50/805.23 = 494.67/x
  3. Step 3: Cross multiply
    583.50x = 805.23 × 494.67
  4. Step 4: Simplify right side
    583.50x = 398,323.12
  5. Step 5: Solve for x
    x = 398,323.12/583.50
  6. Step 6: Final answer
    x = 682.64

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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.