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Finding the Fourth Proportional to 275.84, 410.80 and 266.26

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Solution

The fourth proportional to 275.84, 410.80 and 266.26 is: 396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.84 : 410.80 = 266.26 : x
  2. Step 2: Convert to fraction form
    275.84/410.80 = 266.26/x
  3. Step 3: Cross multiply
    275.84x = 410.80 × 266.26
  4. Step 4: Simplify right side
    275.84x = 109,379.61
  5. Step 5: Solve for x
    x = 109,379.61/275.84
  6. Step 6: Final answer
    x = 396.53

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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.