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Finding the Fourth Proportional to 583.98, 805.68 and 409.56

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Solution

The fourth proportional to 583.98, 805.68 and 409.56 is: 565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.98 : 805.68 = 409.56 : x
  2. Step 2: Convert to fraction form
    583.98/805.68 = 409.56/x
  3. Step 3: Cross multiply
    583.98x = 805.68 × 409.56
  4. Step 4: Simplify right side
    583.98x = 329,974.30
  5. Step 5: Solve for x
    x = 329,974.30/583.98
  6. Step 6: Final answer
    x = 565.04

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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.