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Finding the Fourth Proportional to 583.76, 805.19 and 495.83

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Solution

The fourth proportional to 583.76, 805.19 and 495.83 is: 683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.76 : 805.19 = 495.83 : x
  2. Step 2: Convert to fraction form
    583.76/805.19 = 495.83/x
  3. Step 3: Cross multiply
    583.76x = 805.19 × 495.83
  4. Step 4: Simplify right side
    583.76x = 399,230.85
  5. Step 5: Solve for x
    x = 399,230.85/583.76
  6. Step 6: Final answer
    x = 683.90

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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.