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Finding the Fourth Proportional to 583.88, 805.79 and 409.64

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Solution

The fourth proportional to 583.88, 805.79 and 409.64 is: 565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.88 : 805.79 = 409.64 : x
  2. Step 2: Convert to fraction form
    583.88/805.79 = 409.64/x
  3. Step 3: Cross multiply
    583.88x = 805.79 × 409.64
  4. Step 4: Simplify right side
    583.88x = 330,080.81
  5. Step 5: Solve for x
    x = 330,080.81/583.88
  6. Step 6: Final answer
    x = 565.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.