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Finding the Fourth Proportional to 583.80, 805.32 and 408.84

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Solution

The fourth proportional to 583.80, 805.32 and 408.84 is: 563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.80 : 805.32 = 408.84 : x
  2. Step 2: Convert to fraction form
    583.80/805.32 = 408.84/x
  3. Step 3: Cross multiply
    583.80x = 805.32 × 408.84
  4. Step 4: Simplify right side
    583.80x = 329,247.03
  5. Step 5: Solve for x
    x = 329,247.03/583.80
  6. Step 6: Final answer
    x = 563.97

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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.