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Finding the Fourth Proportional to 583.86, 805.11 and 495.18

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Solution

The fourth proportional to 583.86, 805.11 and 495.18 is: 682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.86 : 805.11 = 495.18 : x
  2. Step 2: Convert to fraction form
    583.86/805.11 = 495.18/x
  3. Step 3: Cross multiply
    583.86x = 805.11 × 495.18
  4. Step 4: Simplify right side
    583.86x = 398,674.37
  5. Step 5: Solve for x
    x = 398,674.37/583.86
  6. Step 6: Final answer
    x = 682.83

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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.