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Finding the Fourth Proportional to 583.25, 805.29 and 408.83

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Solution

The fourth proportional to 583.25, 805.29 and 408.83 is: 564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.25 : 805.29 = 408.83 : x
  2. Step 2: Convert to fraction form
    583.25/805.29 = 408.83/x
  3. Step 3: Cross multiply
    583.25x = 805.29 × 408.83
  4. Step 4: Simplify right side
    583.25x = 329,226.71
  5. Step 5: Solve for x
    x = 329,226.71/583.25
  6. Step 6: Final answer
    x = 564.47

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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.