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Finding the Fourth Proportional to 402.42, 555.19 and 255

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Solution

The fourth proportional to 402.42, 555.19 and 255 is: 351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.42 : 555.19 = 255 : x
  2. Step 2: Convert to fraction form
    402.42/555.19 = 255/x
  3. Step 3: Cross multiply
    402.42x = 555.19 × 255
  4. Step 4: Simplify right side
    402.42x = 141,573.45
  5. Step 5: Solve for x
    x = 141,573.45/402.42
  6. Step 6: Final answer
    x = 351.81

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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.