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Finding the Fourth Proportional to 275.42, 410.88 and 255.78

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Solution

The fourth proportional to 275.42, 410.88 and 255.78 is: 381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.42 : 410.88 = 255.78 : x
  2. Step 2: Convert to fraction form
    275.42/410.88 = 255.78/x
  3. Step 3: Cross multiply
    275.42x = 410.88 × 255.78
  4. Step 4: Simplify right side
    275.42x = 105,094.89
  5. Step 5: Solve for x
    x = 105,094.89/275.42
  6. Step 6: Final answer
    x = 381.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.