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Finding the Fourth Proportional to 409.77, 566.98 and 357.44

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Solution

The fourth proportional to 409.77, 566.98 and 357.44 is: 494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.77 : 566.98 = 357.44 : x
  2. Step 2: Convert to fraction form
    409.77/566.98 = 357.44/x
  3. Step 3: Cross multiply
    409.77x = 566.98 × 357.44
  4. Step 4: Simplify right side
    409.77x = 202,657.60
  5. Step 5: Solve for x
    x = 202,657.60/409.77
  6. Step 6: Final answer
    x = 494.56

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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.