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Finding the Fourth Proportional to 402.27, 555.32 and 255.10

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Solution

The fourth proportional to 402.27, 555.32 and 255.10 is: 352.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.27 : 555.32 = 255.10 : x
  2. Step 2: Convert to fraction form
    402.27/555.32 = 255.10/x
  3. Step 3: Cross multiply
    402.27x = 555.32 × 255.10
  4. Step 4: Simplify right side
    402.27x = 141,662.13
  5. Step 5: Solve for x
    x = 141,662.13/402.27
  6. Step 6: Final answer
    x = 352.16

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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.