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Finding the Fourth Proportional to 577.50, 796.33 and 409.62

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Solution

The fourth proportional to 577.50, 796.33 and 409.62 is: 564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.50 : 796.33 = 409.62 : x
  2. Step 2: Convert to fraction form
    577.50/796.33 = 409.62/x
  3. Step 3: Cross multiply
    577.50x = 796.33 × 409.62
  4. Step 4: Simplify right side
    577.50x = 326,196.19
  5. Step 5: Solve for x
    x = 326,196.19/577.50
  6. Step 6: Final answer
    x = 564.85

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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.