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Finding the Fourth Proportional to 402.42, 555.24 and 255.22

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Solution

The fourth proportional to 402.42, 555.24 and 255.22 is: 352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.42 : 555.24 = 255.22 : x
  2. Step 2: Convert to fraction form
    402.42/555.24 = 255.22/x
  3. Step 3: Cross multiply
    402.42x = 555.24 × 255.22
  4. Step 4: Simplify right side
    402.42x = 141,708.35
  5. Step 5: Solve for x
    x = 141,708.35/402.42
  6. Step 6: Final answer
    x = 352.14

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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.