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Finding the Fourth Proportional to 583.92, 805.89 and 359.88

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Solution

The fourth proportional to 583.92, 805.89 and 359.88 is: 496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.92 : 805.89 = 359.88 : x
  2. Step 2: Convert to fraction form
    583.92/805.89 = 359.88/x
  3. Step 3: Cross multiply
    583.92x = 805.89 × 359.88
  4. Step 4: Simplify right side
    583.92x = 290,023.69
  5. Step 5: Solve for x
    x = 290,023.69/583.92
  6. Step 6: Final answer
    x = 496.68

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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.