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Finding the Fourth Proportional to 410.25, 566.16 and 255.09

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Solution

The fourth proportional to 410.25, 566.16 and 255.09 is: 352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.25 : 566.16 = 255.09 : x
  2. Step 2: Convert to fraction form
    410.25/566.16 = 255.09/x
  3. Step 3: Cross multiply
    410.25x = 566.16 × 255.09
  4. Step 4: Simplify right side
    410.25x = 144,421.75
  5. Step 5: Solve for x
    x = 144,421.75/410.25
  6. Step 6: Final answer
    x = 352.03

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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.