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Finding the Fourth Proportional to 402.23, 555.17 and 255.08

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Solution

The fourth proportional to 402.23, 555.17 and 255.08 is: 352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.23 : 555.17 = 255.08 : x
  2. Step 2: Convert to fraction form
    402.23/555.17 = 255.08/x
  3. Step 3: Cross multiply
    402.23x = 555.17 × 255.08
  4. Step 4: Simplify right side
    402.23x = 141,608.71
  5. Step 5: Solve for x
    x = 141,608.71/402.23
  6. Step 6: Final answer
    x = 352.06

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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.